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Finding the Third Proportional to 63.70 and 138.80

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Solution

The third proportional to 63.70 and 138.80 is: 302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.70 : 138.80 = 138.80 : x
  2. Step 2: Convert to fraction form
    63.70/138.80 = 138.80/x
  3. Step 3: Cross multiply
    63.70x = 138.80 × 138.80
  4. Step 4: Simplify right side
    63.70x = 19,264.57
  5. Step 5: Solve for x
    x = 19,264.57/63.70
  6. Step 6: Final answer
    x = 302.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.