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Finding the Third Proportional to 76,810 and 159,750

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Solution

The third proportional to 76,810 and 159,750 is: 332,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,810 : 159,750 = 159,750 : x
  2. Step 2: Convert to fraction form
    76,810/159,750 = 159,750/x
  3. Step 3: Cross multiply
    76,810x = 159,750 × 159,750
  4. Step 4: Simplify right side
    76,810x = 25,520,062,500
  5. Step 5: Solve for x
    x = 25,520,062,500/76,810
  6. Step 6: Final answer
    x = 332,249.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.