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Finding the Third Proportional to 43,686 and 69,282

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Solution

The third proportional to 43,686 and 69,282 is: 109,874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,686 : 69,282 = 69,282 : x
  2. Step 2: Convert to fraction form
    43,686/69,282 = 69,282/x
  3. Step 3: Cross multiply
    43,686x = 69,282 × 69,282
  4. Step 4: Simplify right side
    43,686x = 4,799,995,524
  5. Step 5: Solve for x
    x = 4,799,995,524/43,686
  6. Step 6: Final answer
    x = 109,874.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.