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Finding the Third Proportional to 230,404 and 329,478

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Solution

The third proportional to 230,404 and 329,478 is: 471,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,404 : 329,478 = 329,478 : x
  2. Step 2: Convert to fraction form
    230,404/329,478 = 329,478/x
  3. Step 3: Cross multiply
    230,404x = 329,478 × 329,478
  4. Step 4: Simplify right side
    230,404x = 108,555,752,484
  5. Step 5: Solve for x
    x = 108,555,752,484/230,404
  6. Step 6: Final answer
    x = 471,153.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.