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Finding the Third Proportional to 40.85 and 60.07

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Solution

The third proportional to 40.85 and 60.07 is: 88.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.85 : 60.07 = 60.07 : x
  2. Step 2: Convert to fraction form
    40.85/60.07 = 60.07/x
  3. Step 3: Cross multiply
    40.85x = 60.07 × 60.07
  4. Step 4: Simplify right side
    40.85x = 3,608.13
  5. Step 5: Solve for x
    x = 3,608.13/40.85
  6. Step 6: Final answer
    x = 88.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.