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Finding the Third Proportional to 19,578 and 41,686

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Solution

The third proportional to 19,578 and 41,686 is: 88,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578 : 41,686 = 41,686 : x
  2. Step 2: Convert to fraction form
    19,578/41,686 = 41,686/x
  3. Step 3: Cross multiply
    19,578x = 41,686 × 41,686
  4. Step 4: Simplify right side
    19,578x = 1,737,722,596
  5. Step 5: Solve for x
    x = 1,737,722,596/19,578
  6. Step 6: Final answer
    x = 88,758.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.