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Finding the Third Proportional to 7.89 and 18.53

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Solution

The third proportional to 7.89 and 18.53 is: 43.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.89 : 18.53 = 18.53 : x
  2. Step 2: Convert to fraction form
    7.89/18.53 = 18.53/x
  3. Step 3: Cross multiply
    7.89x = 18.53 × 18.53
  4. Step 4: Simplify right side
    7.89x = 343.48
  5. Step 5: Solve for x
    x = 343.48/7.89
  6. Step 6: Final answer
    x = 43.51

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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.