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Finding the Third Proportional to 92.08 and 133.14

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Solution

The third proportional to 92.08 and 133.14 is: 192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.08 : 133.14 = 133.14 : x
  2. Step 2: Convert to fraction form
    92.08/133.14 = 133.14/x
  3. Step 3: Cross multiply
    92.08x = 133.14 × 133.14
  4. Step 4: Simplify right side
    92.08x = 17,726.43
  5. Step 5: Solve for x
    x = 17,726.43/92.08
  6. Step 6: Final answer
    x = 192.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.