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Finding the Third Proportional to 142,279 and 329,391

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Solution

The third proportional to 142,279 and 329,391 is: 762,575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,279 : 329,391 = 329,391 : x
  2. Step 2: Convert to fraction form
    142,279/329,391 = 329,391/x
  3. Step 3: Cross multiply
    142,279x = 329,391 × 329,391
  4. Step 4: Simplify right side
    142,279x = 108,498,430,881
  5. Step 5: Solve for x
    x = 108,498,430,881/142,279
  6. Step 6: Final answer
    x = 762,575.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.