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Finding the Third Proportional to 47,431 and 68,698

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Solution

The third proportional to 47,431 and 68,698 is: 99,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,431 : 68,698 = 68,698 : x
  2. Step 2: Convert to fraction form
    47,431/68,698 = 68,698/x
  3. Step 3: Cross multiply
    47,431x = 68,698 × 68,698
  4. Step 4: Simplify right side
    47,431x = 4,719,415,204
  5. Step 5: Solve for x
    x = 4,719,415,204/47,431
  6. Step 6: Final answer
    x = 99,500.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.