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Finding the Third Proportional to 74.13 and 159.50

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Solution

The third proportional to 74.13 and 159.50 is: 343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.13 : 159.50 = 159.50 : x
  2. Step 2: Convert to fraction form
    74.13/159.50 = 159.50/x
  3. Step 3: Cross multiply
    74.13x = 159.50 × 159.50
  4. Step 4: Simplify right side
    74.13x = 25,440.25
  5. Step 5: Solve for x
    x = 25,440.25/74.13
  6. Step 6: Final answer
    x = 343.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.