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Finding the Third Proportional to 0.75 and 7.13

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Solution

The third proportional to 0.75 and 7.13 is: 67.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.75 : 7.13 = 7.13 : x
  2. Step 2: Convert to fraction form
    0.75/7.13 = 7.13/x
  3. Step 3: Cross multiply
    0.75x = 7.13 × 7.13
  4. Step 4: Simplify right side
    0.75x = 50.77
  5. Step 5: Solve for x
    x = 50.77/0.75
  6. Step 6: Final answer
    x = 67.69

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Why These Related Problems?

These problems maintain the same ratio (9.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.