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Finding the Third Proportional to 443,154 and 687,493

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Solution

The third proportional to 443,154 and 687,493 is: 1,066,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,154 : 687,493 = 687,493 : x
  2. Step 2: Convert to fraction form
    443,154/687,493 = 687,493/x
  3. Step 3: Cross multiply
    443,154x = 687,493 × 687,493
  4. Step 4: Simplify right side
    443,154x = 472,646,625,049
  5. Step 5: Solve for x
    x = 472,646,625,049/443,154
  6. Step 6: Final answer
    x = 1,066,551.64

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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.