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Finding the Third Proportional to 81.47 and 150.94

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Solution

The third proportional to 81.47 and 150.94 is: 279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.47 : 150.94 = 150.94 : x
  2. Step 2: Convert to fraction form
    81.47/150.94 = 150.94/x
  3. Step 3: Cross multiply
    81.47x = 150.94 × 150.94
  4. Step 4: Simplify right side
    81.47x = 22,782.13
  5. Step 5: Solve for x
    x = 22,782.13/81.47
  6. Step 6: Final answer
    x = 279.64

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.