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Finding the Third Proportional to 76,288 and 159,552

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Solution

The third proportional to 76,288 and 159,552 is: 333,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,288 : 159,552 = 159,552 : x
  2. Step 2: Convert to fraction form
    76,288/159,552 = 159,552/x
  3. Step 3: Cross multiply
    76,288x = 159,552 × 159,552
  4. Step 4: Simplify right side
    76,288x = 25,456,840,704
  5. Step 5: Solve for x
    x = 25,456,840,704/76,288
  6. Step 6: Final answer
    x = 333,693.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.