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Finding the Third Proportional to 43,724 and 67,218

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Solution

The third proportional to 43,724 and 67,218 is: 103,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,724 : 67,218 = 67,218 : x
  2. Step 2: Convert to fraction form
    43,724/67,218 = 67,218/x
  3. Step 3: Cross multiply
    43,724x = 67,218 × 67,218
  4. Step 4: Simplify right side
    43,724x = 4,518,259,524
  5. Step 5: Solve for x
    x = 4,518,259,524/43,724
  6. Step 6: Final answer
    x = 103,335.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.