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Finding the Third Proportional to 43,902 and 68,082

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Solution

The third proportional to 43,902 and 68,082 is: 105,579.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,902 : 68,082 = 68,082 : x
  2. Step 2: Convert to fraction form
    43,902/68,082 = 68,082/x
  3. Step 3: Cross multiply
    43,902x = 68,082 × 68,082
  4. Step 4: Simplify right side
    43,902x = 4,635,158,724
  5. Step 5: Solve for x
    x = 4,635,158,724/43,902
  6. Step 6: Final answer
    x = 105,579.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.