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Finding the Third Proportional to 408,640 and 866,424

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Solution

The third proportional to 408,640 and 866,424 is: 1,837,046.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,640 : 866,424 = 866,424 : x
  2. Step 2: Convert to fraction form
    408,640/866,424 = 866,424/x
  3. Step 3: Cross multiply
    408,640x = 866,424 × 866,424
  4. Step 4: Simplify right side
    408,640x = 750,690,547,776
  5. Step 5: Solve for x
    x = 750,690,547,776/408,640
  6. Step 6: Final answer
    x = 1,837,046.17

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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.