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Finding the Third Proportional to 5.89 and 9.31

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Solution

The third proportional to 5.89 and 9.31 is: 14.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.89 : 9.31 = 9.31 : x
  2. Step 2: Convert to fraction form
    5.89/9.31 = 9.31/x
  3. Step 3: Cross multiply
    5.89x = 9.31 × 9.31
  4. Step 4: Simplify right side
    5.89x = 86.64
  5. Step 5: Solve for x
    x = 86.64/5.89
  6. Step 6: Final answer
    x = 14.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.