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Finding the Third Proportional to 15.78 and 26.92

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Solution

The third proportional to 15.78 and 26.92 is: 45.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.78 : 26.92 = 26.92 : x
  2. Step 2: Convert to fraction form
    15.78/26.92 = 26.92/x
  3. Step 3: Cross multiply
    15.78x = 26.92 × 26.92
  4. Step 4: Simplify right side
    15.78x = 724.45
  5. Step 5: Solve for x
    x = 724.45/15.78
  6. Step 6: Final answer
    x = 45.90

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.