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Finding the Third Proportional to 70.45 and 148.92

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Solution

The third proportional to 70.45 and 148.92 is: 314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.45 : 148.92 = 148.92 : x
  2. Step 2: Convert to fraction form
    70.45/148.92 = 148.92/x
  3. Step 3: Cross multiply
    70.45x = 148.92 × 148.92
  4. Step 4: Simplify right side
    70.45x = 22,177.72
  5. Step 5: Solve for x
    x = 22,177.72/70.45
  6. Step 6: Final answer
    x = 314.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.