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Finding the Third Proportional to 687,132 and 1,027,539

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Solution

The third proportional to 687,132 and 1,027,539 is: 1,536,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,132 : 1,027,539 = 1,027,539 : x
  2. Step 2: Convert to fraction form
    687,132/1,027,539 = 1,027,539/x
  3. Step 3: Cross multiply
    687,132x = 1,027,539 × 1,027,539
  4. Step 4: Simplify right side
    687,132x = 1,055,836,396,521
  5. Step 5: Solve for x
    x = 1,055,836,396,521/687,132
  6. Step 6: Final answer
    x = 1,536,584.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.