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Finding the Third Proportional to 424,011 and 647,634

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Solution

The third proportional to 424,011 and 647,634 is: 989,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,011 : 647,634 = 647,634 : x
  2. Step 2: Convert to fraction form
    424,011/647,634 = 647,634/x
  3. Step 3: Cross multiply
    424,011x = 647,634 × 647,634
  4. Step 4: Simplify right side
    424,011x = 419,429,797,956
  5. Step 5: Solve for x
    x = 419,429,797,956/424,011
  6. Step 6: Final answer
    x = 989,195.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.