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Finding the Third Proportional to 71.56 and 90.75

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Solution

The third proportional to 71.56 and 90.75 is: 115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.56 : 90.75 = 90.75 : x
  2. Step 2: Convert to fraction form
    71.56/90.75 = 90.75/x
  3. Step 3: Cross multiply
    71.56x = 90.75 × 90.75
  4. Step 4: Simplify right side
    71.56x = 8,235.56
  5. Step 5: Solve for x
    x = 8,235.56/71.56
  6. Step 6: Final answer
    x = 115.08

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.