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Finding the Third Proportional to 12.70 and 20.07

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Solution

The third proportional to 12.70 and 20.07 is: 31.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.70 : 20.07 = 20.07 : x
  2. Step 2: Convert to fraction form
    12.70/20.07 = 20.07/x
  3. Step 3: Cross multiply
    12.70x = 20.07 × 20.07
  4. Step 4: Simplify right side
    12.70x = 402.69
  5. Step 5: Solve for x
    x = 402.69/12.70
  6. Step 6: Final answer
    x = 31.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.