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Finding the Third Proportional to 7.46 and 8.66

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Solution

The third proportional to 7.46 and 8.66 is: 10.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.46 : 8.66 = 8.66 : x
  2. Step 2: Convert to fraction form
    7.46/8.66 = 8.66/x
  3. Step 3: Cross multiply
    7.46x = 8.66 × 8.66
  4. Step 4: Simplify right side
    7.46x = 74.99
  5. Step 5: Solve for x
    x = 74.99/7.46
  6. Step 6: Final answer
    x = 10.06

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.