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Finding the Third Proportional to 15.40 and 23.20

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Solution

The third proportional to 15.40 and 23.20 is: 34.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.40 : 23.20 = 23.20 : x
  2. Step 2: Convert to fraction form
    15.40/23.20 = 23.20/x
  3. Step 3: Cross multiply
    15.40x = 23.20 × 23.20
  4. Step 4: Simplify right side
    15.40x = 538.39
  5. Step 5: Solve for x
    x = 538.39/15.40
  6. Step 6: Final answer
    x = 34.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.