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Finding the Third Proportional to 15.70 and 24.07

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Solution

The third proportional to 15.70 and 24.07 is: 36.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.70 : 24.07 = 24.07 : x
  2. Step 2: Convert to fraction form
    15.70/24.07 = 24.07/x
  3. Step 3: Cross multiply
    15.70x = 24.07 × 24.07
  4. Step 4: Simplify right side
    15.70x = 579.38
  5. Step 5: Solve for x
    x = 579.38/15.70
  6. Step 6: Final answer
    x = 36.90

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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.