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Finding the Third Proportional to 21.76 and 45.92

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Solution

The third proportional to 21.76 and 45.92 is: 96.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.76 : 45.92 = 45.92 : x
  2. Step 2: Convert to fraction form
    21.76/45.92 = 45.92/x
  3. Step 3: Cross multiply
    21.76x = 45.92 × 45.92
  4. Step 4: Simplify right side
    21.76x = 2,108.50
  5. Step 5: Solve for x
    x = 2,108.50/21.76
  6. Step 6: Final answer
    x = 96.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.