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Finding the Third Proportional to 5.73 and 7.81

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Solution

The third proportional to 5.73 and 7.81 is: 10.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.73 : 7.81 = 7.81 : x
  2. Step 2: Convert to fraction form
    5.73/7.81 = 7.81/x
  3. Step 3: Cross multiply
    5.73x = 7.81 × 7.81
  4. Step 4: Simplify right side
    5.73x = 61.01
  5. Step 5: Solve for x
    x = 61.01/5.73
  6. Step 6: Final answer
    x = 10.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.