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Finding the Third Proportional to 5.86 and 8.72

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Solution

The third proportional to 5.86 and 8.72 is: 12.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.86 : 8.72 = 8.72 : x
  2. Step 2: Convert to fraction form
    5.86/8.72 = 8.72/x
  3. Step 3: Cross multiply
    5.86x = 8.72 × 8.72
  4. Step 4: Simplify right side
    5.86x = 76.08
  5. Step 5: Solve for x
    x = 76.08/5.86
  6. Step 6: Final answer
    x = 12.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.