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Finding the Third Proportional to 40.78 and 60.47

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Solution

The third proportional to 40.78 and 60.47 is: 89.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.78 : 60.47 = 60.47 : x
  2. Step 2: Convert to fraction form
    40.78/60.47 = 60.47/x
  3. Step 3: Cross multiply
    40.78x = 60.47 × 60.47
  4. Step 4: Simplify right side
    40.78x = 3,656.47
  5. Step 5: Solve for x
    x = 3,656.47/40.78
  6. Step 6: Final answer
    x = 89.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.