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Finding the Third Proportional to 142,082 and 220,755

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Solution

The third proportional to 142,082 and 220,755 is: 342,990.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,082 : 220,755 = 220,755 : x
  2. Step 2: Convert to fraction form
    142,082/220,755 = 220,755/x
  3. Step 3: Cross multiply
    142,082x = 220,755 × 220,755
  4. Step 4: Simplify right side
    142,082x = 48,732,770,025
  5. Step 5: Solve for x
    x = 48,732,770,025/142,082
  6. Step 6: Final answer
    x = 342,990.46

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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.