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Finding the Third Proportional to 261,931 and 565,591

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Solution

The third proportional to 261,931 and 565,591 is: 1,221,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,931 : 565,591 = 565,591 : x
  2. Step 2: Convert to fraction form
    261,931/565,591 = 565,591/x
  3. Step 3: Cross multiply
    261,931x = 565,591 × 565,591
  4. Step 4: Simplify right side
    261,931x = 319,893,179,281
  5. Step 5: Solve for x
    x = 319,893,179,281/261,931
  6. Step 6: Final answer
    x = 1,221,287.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.