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Finding the Third Proportional to 316,918 and 491,489

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Solution

The third proportional to 316,918 and 491,489 is: 762,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,918 : 491,489 = 491,489 : x
  2. Step 2: Convert to fraction form
    316,918/491,489 = 491,489/x
  3. Step 3: Cross multiply
    316,918x = 491,489 × 491,489
  4. Step 4: Simplify right side
    316,918x = 241,561,437,121
  5. Step 5: Solve for x
    x = 241,561,437,121/316,918
  6. Step 6: Final answer
    x = 762,220.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.