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Finding the Third Proportional to 69.88 and 147.13

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Solution

The third proportional to 69.88 and 147.13 is: 309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.88 : 147.13 = 147.13 : x
  2. Step 2: Convert to fraction form
    69.88/147.13 = 147.13/x
  3. Step 3: Cross multiply
    69.88x = 147.13 × 147.13
  4. Step 4: Simplify right side
    69.88x = 21,645.77
  5. Step 5: Solve for x
    x = 21,645.77/69.88
  6. Step 6: Final answer
    x = 309.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.