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Finding the Third Proportional to 442,886 and 687,660

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Solution

The third proportional to 442,886 and 687,660 is: 1,067,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,886 : 687,660 = 687,660 : x
  2. Step 2: Convert to fraction form
    442,886/687,660 = 687,660/x
  3. Step 3: Cross multiply
    442,886x = 687,660 × 687,660
  4. Step 4: Simplify right side
    442,886x = 472,876,275,600
  5. Step 5: Solve for x
    x = 472,876,275,600/442,886
  6. Step 6: Final answer
    x = 1,067,715.56

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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.