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Finding the Third Proportional to 432,578 and 672,141

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Solution

The third proportional to 432,578 and 672,141 is: 1,044,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,578 : 672,141 = 672,141 : x
  2. Step 2: Convert to fraction form
    432,578/672,141 = 672,141/x
  3. Step 3: Cross multiply
    432,578x = 672,141 × 672,141
  4. Step 4: Simplify right side
    432,578x = 451,773,523,881
  5. Step 5: Solve for x
    x = 451,773,523,881/432,578
  6. Step 6: Final answer
    x = 1,044,374.71

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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.