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Finding the Third Proportional to 423,049 and 647,970

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Solution

The third proportional to 423,049 and 647,970 is: 992,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,049 : 647,970 = 647,970 : x
  2. Step 2: Convert to fraction form
    423,049/647,970 = 647,970/x
  3. Step 3: Cross multiply
    423,049x = 647,970 × 647,970
  4. Step 4: Simplify right side
    423,049x = 419,865,120,900
  5. Step 5: Solve for x
    x = 419,865,120,900/423,049
  6. Step 6: Final answer
    x = 992,473.97

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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.