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Finding the Third Proportional to 687,079 and 1,465,451

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Solution

The third proportional to 687,079 and 1,465,451 is: 3,125,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,079 : 1,465,451 = 1,465,451 : x
  2. Step 2: Convert to fraction form
    687,079/1,465,451 = 1,465,451/x
  3. Step 3: Cross multiply
    687,079x = 1,465,451 × 1,465,451
  4. Step 4: Simplify right side
    687,079x = 2,147,546,633,401
  5. Step 5: Solve for x
    x = 2,147,546,633,401/687,079
  6. Step 6: Final answer
    x = 3,125,618.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.