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Finding the Third Proportional to 9.66 and 25.13

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Solution

The third proportional to 9.66 and 25.13 is: 65.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.66 : 25.13 = 25.13 : x
  2. Step 2: Convert to fraction form
    9.66/25.13 = 25.13/x
  3. Step 3: Cross multiply
    9.66x = 25.13 × 25.13
  4. Step 4: Simplify right side
    9.66x = 631.27
  5. Step 5: Solve for x
    x = 631.27/9.66
  6. Step 6: Final answer
    x = 65.37

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.