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Finding the Third Proportional to 404,839.90 and 865,725.47

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Solution

The third proportional to 404,839.90 and 865,725.47 is: 1,851,301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,839.90 : 865,725.47 = 865,725.47 : x
  2. Step 2: Convert to fraction form
    404,839.90/865,725.47 = 865,725.47/x
  3. Step 3: Cross multiply
    404,839.90x = 865,725.47 × 865,725.47
  4. Step 4: Simplify right side
    404,839.90x = 749,480,587,242.41
  5. Step 5: Solve for x
    x = 749,480,587,242.41/404,839.90
  6. Step 6: Final answer
    x = 1,851,301.19

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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.