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Finding the Third Proportional to 40.86 and 59.76

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Solution

The third proportional to 40.86 and 59.76 is: 87.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.86 : 59.76 = 59.76 : x
  2. Step 2: Convert to fraction form
    40.86/59.76 = 59.76/x
  3. Step 3: Cross multiply
    40.86x = 59.76 × 59.76
  4. Step 4: Simplify right side
    40.86x = 3,570.72
  5. Step 5: Solve for x
    x = 3,570.72/40.86
  6. Step 6: Final answer
    x = 87.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.