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Finding the Third Proportional to 71.19 and 150.93

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Solution

The third proportional to 71.19 and 150.93 is: 319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.19 : 150.93 = 150.93 : x
  2. Step 2: Convert to fraction form
    71.19/150.93 = 150.93/x
  3. Step 3: Cross multiply
    71.19x = 150.93 × 150.93
  4. Step 4: Simplify right side
    71.19x = 22,778.59
  5. Step 5: Solve for x
    x = 22,778.59/71.19
  6. Step 6: Final answer
    x = 319.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.