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Finding the Third Proportional to 15.12 and 23.07

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Solution

The third proportional to 15.12 and 23.07 is: 35.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.12 : 23.07 = 23.07 : x
  2. Step 2: Convert to fraction form
    15.12/23.07 = 23.07/x
  3. Step 3: Cross multiply
    15.12x = 23.07 × 23.07
  4. Step 4: Simplify right side
    15.12x = 532.31
  5. Step 5: Solve for x
    x = 532.31/15.12
  6. Step 6: Final answer
    x = 35.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.