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Finding the Third Proportional to 68,332 and 146,872

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Solution

The third proportional to 68,332 and 146,872 is: 315,684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,332 : 146,872 = 146,872 : x
  2. Step 2: Convert to fraction form
    68,332/146,872 = 146,872/x
  3. Step 3: Cross multiply
    68,332x = 146,872 × 146,872
  4. Step 4: Simplify right side
    68,332x = 21,571,384,384
  5. Step 5: Solve for x
    x = 21,571,384,384/68,332
  6. Step 6: Final answer
    x = 315,684.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.