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Finding the Third Proportional to 68.70 and 151.28

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Solution

The third proportional to 68.70 and 151.28 is: 333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.70 : 151.28 = 151.28 : x
  2. Step 2: Convert to fraction form
    68.70/151.28 = 151.28/x
  3. Step 3: Cross multiply
    68.70x = 151.28 × 151.28
  4. Step 4: Simplify right side
    68.70x = 22,886.16
  5. Step 5: Solve for x
    x = 22,886.16/68.70
  6. Step 6: Final answer
    x = 333.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.