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Finding the Third Proportional to 442,862 and 687,627

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Solution

The third proportional to 442,862 and 687,627 is: 1,067,670.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,862 : 687,627 = 687,627 : x
  2. Step 2: Convert to fraction form
    442,862/687,627 = 687,627/x
  3. Step 3: Cross multiply
    442,862x = 687,627 × 687,627
  4. Step 4: Simplify right side
    442,862x = 472,830,891,129
  5. Step 5: Solve for x
    x = 472,830,891,129/442,862
  6. Step 6: Final answer
    x = 1,067,670.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.