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Finding the Third Proportional to 19.43 and 41.20

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Solution

The third proportional to 19.43 and 41.20 is: 87.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.43 : 41.20 = 41.20 : x
  2. Step 2: Convert to fraction form
    19.43/41.20 = 41.20/x
  3. Step 3: Cross multiply
    19.43x = 41.20 × 41.20
  4. Step 4: Simplify right side
    19.43x = 1,697.77
  5. Step 5: Solve for x
    x = 1,697.77/19.43
  6. Step 6: Final answer
    x = 87.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.