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Finding the Third Proportional to 9.70 and 15.19

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Solution

The third proportional to 9.70 and 15.19 is: 23.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.70 : 15.19 = 15.19 : x
  2. Step 2: Convert to fraction form
    9.70/15.19 = 15.19/x
  3. Step 3: Cross multiply
    9.70x = 15.19 × 15.19
  4. Step 4: Simplify right side
    9.70x = 230.66
  5. Step 5: Solve for x
    x = 230.66/9.70
  6. Step 6: Final answer
    x = 23.77

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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.