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Finding the Third Proportional to 39.78 and 92.47

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Solution

The third proportional to 39.78 and 92.47 is: 214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.78 : 92.47 = 92.47 : x
  2. Step 2: Convert to fraction form
    39.78/92.47 = 92.47/x
  3. Step 3: Cross multiply
    39.78x = 92.47 × 92.47
  4. Step 4: Simplify right side
    39.78x = 8,550.47
  5. Step 5: Solve for x
    x = 8,550.47/39.78
  6. Step 6: Final answer
    x = 214.94

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.