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Finding the Third Proportional to 11.70 and 21.46

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Solution

The third proportional to 11.70 and 21.46 is: 39.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.70 : 21.46 = 21.46 : x
  2. Step 2: Convert to fraction form
    11.70/21.46 = 21.46/x
  3. Step 3: Cross multiply
    11.70x = 21.46 × 21.46
  4. Step 4: Simplify right side
    11.70x = 460.38
  5. Step 5: Solve for x
    x = 460.38/11.70
  6. Step 6: Final answer
    x = 39.34

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.