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Finding the Third Proportional to 5.89 and 8.98

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Solution

The third proportional to 5.89 and 8.98 is: 13.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.89 : 8.98 = 8.98 : x
  2. Step 2: Convert to fraction form
    5.89/8.98 = 8.98/x
  3. Step 3: Cross multiply
    5.89x = 8.98 × 8.98
  4. Step 4: Simplify right side
    5.89x = 80.66
  5. Step 5: Solve for x
    x = 80.66/5.89
  6. Step 6: Final answer
    x = 13.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.