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Finding the Third Proportional to 71,940 and 107,658

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Solution

The third proportional to 71,940 and 107,658 is: 161,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,940 : 107,658 = 107,658 : x
  2. Step 2: Convert to fraction form
    71,940/107,658 = 107,658/x
  3. Step 3: Cross multiply
    71,940x = 107,658 × 107,658
  4. Step 4: Simplify right side
    71,940x = 11,590,244,964
  5. Step 5: Solve for x
    x = 11,590,244,964/71,940
  6. Step 6: Final answer
    x = 161,109.88

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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.