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Finding the Third Proportional to 20.45 and 44.70

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Solution

The third proportional to 20.45 and 44.70 is: 97.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.45 : 44.70 = 44.70 : x
  2. Step 2: Convert to fraction form
    20.45/44.70 = 44.70/x
  3. Step 3: Cross multiply
    20.45x = 44.70 × 44.70
  4. Step 4: Simplify right side
    20.45x = 1,998.37
  5. Step 5: Solve for x
    x = 1,998.37/20.45
  6. Step 6: Final answer
    x = 97.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.