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Finding the Third Proportional to 76,589 and 114,957

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Solution

The third proportional to 76,589 and 114,957 is: 172,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,589 : 114,957 = 114,957 : x
  2. Step 2: Convert to fraction form
    76,589/114,957 = 114,957/x
  3. Step 3: Cross multiply
    76,589x = 114,957 × 114,957
  4. Step 4: Simplify right side
    76,589x = 13,215,111,849
  5. Step 5: Solve for x
    x = 13,215,111,849/76,589
  6. Step 6: Final answer
    x = 172,545.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.