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Finding the Third Proportional to 443,137 and 687,467

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Solution

The third proportional to 443,137 and 687,467 is: 1,066,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,137 : 687,467 = 687,467 : x
  2. Step 2: Convert to fraction form
    443,137/687,467 = 687,467/x
  3. Step 3: Cross multiply
    443,137x = 687,467 × 687,467
  4. Step 4: Simplify right side
    443,137x = 472,610,876,089
  5. Step 5: Solve for x
    x = 472,610,876,089/443,137
  6. Step 6: Final answer
    x = 1,066,511.88

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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.