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Finding the Third Proportional to 122.19 and 148.47

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Solution

The third proportional to 122.19 and 148.47 is: 180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.19 : 148.47 = 148.47 : x
  2. Step 2: Convert to fraction form
    122.19/148.47 = 148.47/x
  3. Step 3: Cross multiply
    122.19x = 148.47 × 148.47
  4. Step 4: Simplify right side
    122.19x = 22,042.97
  5. Step 5: Solve for x
    x = 22,042.97/122.19
  6. Step 6: Final answer
    x = 180.40

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.