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Finding the Third Proportional to 92.50 and 143.13

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Solution

The third proportional to 92.50 and 143.13 is: 221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.50 : 143.13 = 143.13 : x
  2. Step 2: Convert to fraction form
    92.50/143.13 = 143.13/x
  3. Step 3: Cross multiply
    92.50x = 143.13 × 143.13
  4. Step 4: Simplify right side
    92.50x = 20,484.77
  5. Step 5: Solve for x
    x = 20,484.77/92.50
  6. Step 6: Final answer
    x = 221.46

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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.