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Finding the Third Proportional to 7.17 and 7.80

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Solution

The third proportional to 7.17 and 7.80 is: 8.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.17 : 7.80 = 7.80 : x
  2. Step 2: Convert to fraction form
    7.17/7.80 = 7.80/x
  3. Step 3: Cross multiply
    7.17x = 7.80 × 7.80
  4. Step 4: Simplify right side
    7.17x = 60.91
  5. Step 5: Solve for x
    x = 60.91/7.17
  6. Step 6: Final answer
    x = 8.49

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.