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Finding the Third Proportional to 67,685 and 99,218

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Solution

The third proportional to 67,685 and 99,218 is: 145,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,685 : 99,218 = 99,218 : x
  2. Step 2: Convert to fraction form
    67,685/99,218 = 99,218/x
  3. Step 3: Cross multiply
    67,685x = 99,218 × 99,218
  4. Step 4: Simplify right side
    67,685x = 9,844,211,524
  5. Step 5: Solve for x
    x = 9,844,211,524/67,685
  6. Step 6: Final answer
    x = 145,441.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.