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Finding the Third Proportional to 391,365 and 849,651

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Solution

The third proportional to 391,365 and 849,651 is: 1,844,587.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,365 : 849,651 = 849,651 : x
  2. Step 2: Convert to fraction form
    391,365/849,651 = 849,651/x
  3. Step 3: Cross multiply
    391,365x = 849,651 × 849,651
  4. Step 4: Simplify right side
    391,365x = 721,906,821,801
  5. Step 5: Solve for x
    x = 721,906,821,801/391,365
  6. Step 6: Final answer
    x = 1,844,587.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.