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Finding the Third Proportional to 261,917 and 565,569

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Solution

The third proportional to 261,917 and 565,569 is: 1,221,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,917 : 565,569 = 565,569 : x
  2. Step 2: Convert to fraction form
    261,917/565,569 = 565,569/x
  3. Step 3: Cross multiply
    261,917x = 565,569 × 565,569
  4. Step 4: Simplify right side
    261,917x = 319,868,293,761
  5. Step 5: Solve for x
    x = 319,868,293,761/261,917
  6. Step 6: Final answer
    x = 1,221,258.24

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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.