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Finding the Third Proportional to 67,868 and 144,749

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Solution

The third proportional to 67,868 and 144,749 is: 308,720.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,868 : 144,749 = 144,749 : x
  2. Step 2: Convert to fraction form
    67,868/144,749 = 144,749/x
  3. Step 3: Cross multiply
    67,868x = 144,749 × 144,749
  4. Step 4: Simplify right side
    67,868x = 20,952,273,001
  5. Step 5: Solve for x
    x = 20,952,273,001/67,868
  6. Step 6: Final answer
    x = 308,720.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.