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Finding the Third Proportional to 21.61 and 50.74

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Solution

The third proportional to 21.61 and 50.74 is: 119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.61 : 50.74 = 50.74 : x
  2. Step 2: Convert to fraction form
    21.61/50.74 = 50.74/x
  3. Step 3: Cross multiply
    21.61x = 50.74 × 50.74
  4. Step 4: Simplify right side
    21.61x = 2,574.77
  5. Step 5: Solve for x
    x = 2,574.77/21.61
  6. Step 6: Final answer
    x = 119.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.