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Finding the Third Proportional to 403,839 and 849,531

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Solution

The third proportional to 403,839 and 849,531 is: 1,787,105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,839 : 849,531 = 849,531 : x
  2. Step 2: Convert to fraction form
    403,839/849,531 = 849,531/x
  3. Step 3: Cross multiply
    403,839x = 849,531 × 849,531
  4. Step 4: Simplify right side
    403,839x = 721,702,919,961
  5. Step 5: Solve for x
    x = 721,702,919,961/403,839
  6. Step 6: Final answer
    x = 1,787,105.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.