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Finding the Third Proportional to 443,367 and 687,921

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Solution

The third proportional to 443,367 and 687,921 is: 1,067,366.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,367 : 687,921 = 687,921 : x
  2. Step 2: Convert to fraction form
    443,367/687,921 = 687,921/x
  3. Step 3: Cross multiply
    443,367x = 687,921 × 687,921
  4. Step 4: Simplify right side
    443,367x = 473,235,302,241
  5. Step 5: Solve for x
    x = 473,235,302,241/443,367
  6. Step 6: Final answer
    x = 1,067,366.99

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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.