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Finding the Third Proportional to 404,375 and 865,553

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Solution

The third proportional to 404,375 and 865,553 is: 1,852,691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,375 : 865,553 = 865,553 : x
  2. Step 2: Convert to fraction form
    404,375/865,553 = 865,553/x
  3. Step 3: Cross multiply
    404,375x = 865,553 × 865,553
  4. Step 4: Simplify right side
    404,375x = 749,181,995,809
  5. Step 5: Solve for x
    x = 749,181,995,809/404,375
  6. Step 6: Final answer
    x = 1,852,691.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.