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Finding the Third Proportional to 67,976 and 145,252

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Solution

The third proportional to 67,976 and 145,252 is: 310,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,976 : 145,252 = 145,252 : x
  2. Step 2: Convert to fraction form
    67,976/145,252 = 145,252/x
  3. Step 3: Cross multiply
    67,976x = 145,252 × 145,252
  4. Step 4: Simplify right side
    67,976x = 21,098,143,504
  5. Step 5: Solve for x
    x = 21,098,143,504/67,976
  6. Step 6: Final answer
    x = 310,376.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.