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Finding the Third Proportional to 99.14 and 135.21

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Solution

The third proportional to 99.14 and 135.21 is: 184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.14 : 135.21 = 135.21 : x
  2. Step 2: Convert to fraction form
    99.14/135.21 = 135.21/x
  3. Step 3: Cross multiply
    99.14x = 135.21 × 135.21
  4. Step 4: Simplify right side
    99.14x = 18,282.00
  5. Step 5: Solve for x
    x = 18,282.00/99.14
  6. Step 6: Final answer
    x = 184.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.