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Finding the Third Proportional to 64.97 and 150.61

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Solution

The third proportional to 64.97 and 150.61 is: 349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.97 : 150.61 = 150.61 : x
  2. Step 2: Convert to fraction form
    64.97/150.61 = 150.61/x
  3. Step 3: Cross multiply
    64.97x = 150.61 × 150.61
  4. Step 4: Simplify right side
    64.97x = 22,683.18
  5. Step 5: Solve for x
    x = 22,683.18/64.97
  6. Step 6: Final answer
    x = 349.14

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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.