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Finding the Third Proportional to 7.65 and 12.03

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Solution

The third proportional to 7.65 and 12.03 is: 18.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.65 : 12.03 = 12.03 : x
  2. Step 2: Convert to fraction form
    7.65/12.03 = 12.03/x
  3. Step 3: Cross multiply
    7.65x = 12.03 × 12.03
  4. Step 4: Simplify right side
    7.65x = 144.60
  5. Step 5: Solve for x
    x = 144.60/7.65
  6. Step 6: Final answer
    x = 18.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.