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Finding the Third Proportional to 76,589 and 168,082

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Solution

The third proportional to 76,589 and 168,082 is: 368,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,589 : 168,082 = 168,082 : x
  2. Step 2: Convert to fraction form
    76,589/168,082 = 168,082/x
  3. Step 3: Cross multiply
    76,589x = 168,082 × 168,082
  4. Step 4: Simplify right side
    76,589x = 28,251,558,724
  5. Step 5: Solve for x
    x = 28,251,558,724/76,589
  6. Step 6: Final answer
    x = 368,872.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.