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Finding the Third Proportional to 7.52 and 9.77

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Solution

The third proportional to 7.52 and 9.77 is: 12.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.52 : 9.77 = 9.77 : x
  2. Step 2: Convert to fraction form
    7.52/9.77 = 9.77/x
  3. Step 3: Cross multiply
    7.52x = 9.77 × 9.77
  4. Step 4: Simplify right side
    7.52x = 95.46
  5. Step 5: Solve for x
    x = 95.46/7.52
  6. Step 6: Final answer
    x = 12.70

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.