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Finding the Third Proportional to 23.06 and 40.78

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Solution

The third proportional to 23.06 and 40.78 is: 72.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.06 : 40.78 = 40.78 : x
  2. Step 2: Convert to fraction form
    23.06/40.78 = 40.78/x
  3. Step 3: Cross multiply
    23.06x = 40.78 × 40.78
  4. Step 4: Simplify right side
    23.06x = 1,663.11
  5. Step 5: Solve for x
    x = 1,663.11/23.06
  6. Step 6: Final answer
    x = 72.11

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.