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Finding the Third Proportional to 19,920 and 41,888

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Solution

The third proportional to 19,920 and 41,888 is: 88,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920 : 41,888 = 41,888 : x
  2. Step 2: Convert to fraction form
    19,920/41,888 = 41,888/x
  3. Step 3: Cross multiply
    19,920x = 41,888 × 41,888
  4. Step 4: Simplify right side
    19,920x = 1,754,604,544
  5. Step 5: Solve for x
    x = 1,754,604,544/19,920
  6. Step 6: Final answer
    x = 88,082.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.