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Finding the Third Proportional to 74,080 and 159,742

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Solution

The third proportional to 74,080 and 159,742 is: 344,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,080 : 159,742 = 159,742 : x
  2. Step 2: Convert to fraction form
    74,080/159,742 = 159,742/x
  3. Step 3: Cross multiply
    74,080x = 159,742 × 159,742
  4. Step 4: Simplify right side
    74,080x = 25,517,506,564
  5. Step 5: Solve for x
    x = 25,517,506,564/74,080
  6. Step 6: Final answer
    x = 344,458.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.