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Finding the Third Proportional to 68,559 and 152,872

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Solution

The third proportional to 68,559 and 152,872 is: 340,872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,559 : 152,872 = 152,872 : x
  2. Step 2: Convert to fraction form
    68,559/152,872 = 152,872/x
  3. Step 3: Cross multiply
    68,559x = 152,872 × 152,872
  4. Step 4: Simplify right side
    68,559x = 23,369,848,384
  5. Step 5: Solve for x
    x = 23,369,848,384/68,559
  6. Step 6: Final answer
    x = 340,872.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.