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Finding the Third Proportional to 39.56 and 59.81

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Solution

The third proportional to 39.56 and 59.81 is: 90.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.56 : 59.81 = 59.81 : x
  2. Step 2: Convert to fraction form
    39.56/59.81 = 59.81/x
  3. Step 3: Cross multiply
    39.56x = 59.81 × 59.81
  4. Step 4: Simplify right side
    39.56x = 3,577.54
  5. Step 5: Solve for x
    x = 3,577.54/39.56
  6. Step 6: Final answer
    x = 90.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.