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Finding the Third Proportional to 34.66 and 72.70

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Solution

The third proportional to 34.66 and 72.70 is: 152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.66 : 72.70 = 72.70 : x
  2. Step 2: Convert to fraction form
    34.66/72.70 = 72.70/x
  3. Step 3: Cross multiply
    34.66x = 72.70 × 72.70
  4. Step 4: Simplify right side
    34.66x = 5,285.74
  5. Step 5: Solve for x
    x = 5,285.74/34.66
  6. Step 6: Final answer
    x = 152.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.