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Finding the Third Proportional to 7.61 and 20.93

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Solution

The third proportional to 7.61 and 20.93 is: 57.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.61 : 20.93 = 20.93 : x
  2. Step 2: Convert to fraction form
    7.61/20.93 = 20.93/x
  3. Step 3: Cross multiply
    7.61x = 20.93 × 20.93
  4. Step 4: Simplify right side
    7.61x = 437.92
  5. Step 5: Solve for x
    x = 437.92/7.61
  6. Step 6: Final answer
    x = 57.55

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.