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Finding the Third Proportional to 218,899 and 314,524

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Solution

The third proportional to 218,899 and 314,524 is: 451,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,899 : 314,524 = 314,524 : x
  2. Step 2: Convert to fraction form
    218,899/314,524 = 314,524/x
  3. Step 3: Cross multiply
    218,899x = 314,524 × 314,524
  4. Step 4: Simplify right side
    218,899x = 98,925,346,576
  5. Step 5: Solve for x
    x = 98,925,346,576/218,899
  6. Step 6: Final answer
    x = 451,922.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.