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Finding the Third Proportional to 76,287 and 159,549

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Solution

The third proportional to 76,287 and 159,549 is: 333,685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,287 : 159,549 = 159,549 : x
  2. Step 2: Convert to fraction form
    76,287/159,549 = 159,549/x
  3. Step 3: Cross multiply
    76,287x = 159,549 × 159,549
  4. Step 4: Simplify right side
    76,287x = 25,455,883,401
  5. Step 5: Solve for x
    x = 25,455,883,401/76,287
  6. Step 6: Final answer
    x = 333,685.73

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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.