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Finding the Third Proportional to 161,478 and 329,508

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Solution

The third proportional to 161,478 and 329,508 is: 672,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,478 : 329,508 = 329,508 : x
  2. Step 2: Convert to fraction form
    161,478/329,508 = 329,508/x
  3. Step 3: Cross multiply
    161,478x = 329,508 × 329,508
  4. Step 4: Simplify right side
    161,478x = 108,575,522,064
  5. Step 5: Solve for x
    x = 108,575,522,064/161,478
  6. Step 6: Final answer
    x = 672,385.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.