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Finding the Third Proportional to 319,484 and 681,591

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Solution

The third proportional to 319,484 and 681,591 is: 1,454,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,484 : 681,591 = 681,591 : x
  2. Step 2: Convert to fraction form
    319,484/681,591 = 681,591/x
  3. Step 3: Cross multiply
    319,484x = 681,591 × 681,591
  4. Step 4: Simplify right side
    319,484x = 464,566,291,281
  5. Step 5: Solve for x
    x = 464,566,291,281/319,484
  6. Step 6: Final answer
    x = 1,454,114.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.