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Finding the Third Proportional to 21.76 and 52.08

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Solution

The third proportional to 21.76 and 52.08 is: 124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.76 : 52.08 = 52.08 : x
  2. Step 2: Convert to fraction form
    21.76/52.08 = 52.08/x
  3. Step 3: Cross multiply
    21.76x = 52.08 × 52.08
  4. Step 4: Simplify right side
    21.76x = 2,712.16
  5. Step 5: Solve for x
    x = 2,712.16/21.76
  6. Step 6: Final answer
    x = 124.65

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.