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Finding the Third Proportional to 357,222 and 499,449

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Solution

The third proportional to 357,222 and 499,449 is: 698,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,222 : 499,449 = 499,449 : x
  2. Step 2: Convert to fraction form
    357,222/499,449 = 499,449/x
  3. Step 3: Cross multiply
    357,222x = 499,449 × 499,449
  4. Step 4: Simplify right side
    357,222x = 249,449,303,601
  5. Step 5: Solve for x
    x = 249,449,303,601/357,222
  6. Step 6: Final answer
    x = 698,303.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.