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Finding the Third Proportional to 320,107 and 479,331

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Solution

The third proportional to 320,107 and 479,331 is: 717,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,107 : 479,331 = 479,331 : x
  2. Step 2: Convert to fraction form
    320,107/479,331 = 479,331/x
  3. Step 3: Cross multiply
    320,107x = 479,331 × 479,331
  4. Step 4: Simplify right side
    320,107x = 229,758,207,561
  5. Step 5: Solve for x
    x = 229,758,207,561/320,107
  6. Step 6: Final answer
    x = 717,754.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.