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Finding the Third Proportional to 322,089,177,222 and 700,727,600,218.50

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Solution

The third proportional to 322,089,177,222 and 700,727,600,218.50 is: 1,524,482,051,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,089,177,222 : 700,727,600,218.50 = 700,727,600,218.50 : x
  2. Step 2: Convert to fraction form
    322,089,177,222/700,727,600,218.50 = 700,727,600,218.50/x
  3. Step 3: Cross multiply
    322,089,177,222x = 700,727,600,218.50 × 700,727,600,218.50
  4. Step 4: Simplify right side
    322,089,177,222x = 491,019,169,707,977,974,218,752
  5. Step 5: Solve for x
    x = 491,019,169,707,977,974,218,752/322,089,177,222
  6. Step 6: Final answer
    x = 1,524,482,051,657.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.