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Finding the Third Proportional to 443,884 and 686,542

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Solution

The third proportional to 443,884 and 686,542 is: 1,061,853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,884 : 686,542 = 686,542 : x
  2. Step 2: Convert to fraction form
    443,884/686,542 = 686,542/x
  3. Step 3: Cross multiply
    443,884x = 686,542 × 686,542
  4. Step 4: Simplify right side
    443,884x = 471,339,917,764
  5. Step 5: Solve for x
    x = 471,339,917,764/443,884
  6. Step 6: Final answer
    x = 1,061,853.81

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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.