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Finding the Third Proportional to 9.70 and 13.08

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Solution

The third proportional to 9.70 and 13.08 is: 17.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.70 : 13.08 = 13.08 : x
  2. Step 2: Convert to fraction form
    9.70/13.08 = 13.08/x
  3. Step 3: Cross multiply
    9.70x = 13.08 × 13.08
  4. Step 4: Simplify right side
    9.70x = 171.04
  5. Step 5: Solve for x
    x = 171.04/9.70
  6. Step 6: Final answer
    x = 17.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.