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Finding the Third Proportional to 67,431 and 139,218

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Solution

The third proportional to 67,431 and 139,218 is: 287,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,431 : 139,218 = 139,218 : x
  2. Step 2: Convert to fraction form
    67,431/139,218 = 139,218/x
  3. Step 3: Cross multiply
    67,431x = 139,218 × 139,218
  4. Step 4: Simplify right side
    67,431x = 19,381,651,524
  5. Step 5: Solve for x
    x = 19,381,651,524/67,431
  6. Step 6: Final answer
    x = 287,429.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.