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Finding the Third Proportional to 408,272 and 865,959

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Solution

The third proportional to 408,272 and 865,959 is: 1,836,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,272 : 865,959 = 865,959 : x
  2. Step 2: Convert to fraction form
    408,272/865,959 = 865,959/x
  3. Step 3: Cross multiply
    408,272x = 865,959 × 865,959
  4. Step 4: Simplify right side
    408,272x = 749,884,989,681
  5. Step 5: Solve for x
    x = 749,884,989,681/408,272
  6. Step 6: Final answer
    x = 1,836,728.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.