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Finding the Third Proportional to 142,174 and 329,137

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Solution

The third proportional to 142,174 and 329,137 is: 761,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,174 : 329,137 = 329,137 : x
  2. Step 2: Convert to fraction form
    142,174/329,137 = 329,137/x
  3. Step 3: Cross multiply
    142,174x = 329,137 × 329,137
  4. Step 4: Simplify right side
    142,174x = 108,331,164,769
  5. Step 5: Solve for x
    x = 108,331,164,769/142,174
  6. Step 6: Final answer
    x = 761,961.85

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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.