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Finding the Third Proportional to 92.81 and 143.84

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Solution

The third proportional to 92.81 and 143.84 is: 222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.81 : 143.84 = 143.84 : x
  2. Step 2: Convert to fraction form
    92.81/143.84 = 143.84/x
  3. Step 3: Cross multiply
    92.81x = 143.84 × 143.84
  4. Step 4: Simplify right side
    92.81x = 20,691.02
  5. Step 5: Solve for x
    x = 20,691.02/92.81
  6. Step 6: Final answer
    x = 222.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.