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Finding the Third Proportional to 100.78 and 138.14

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Solution

The third proportional to 100.78 and 138.14 is: 189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.78 : 138.14 = 138.14 : x
  2. Step 2: Convert to fraction form
    100.78/138.14 = 138.14/x
  3. Step 3: Cross multiply
    100.78x = 138.14 × 138.14
  4. Step 4: Simplify right side
    100.78x = 19,082.83
  5. Step 5: Solve for x
    x = 19,082.83/100.78
  6. Step 6: Final answer
    x = 189.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.