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Finding the Third Proportional to 166,278 and 402,543

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Solution

The third proportional to 166,278 and 402,543 is: 974,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,278 : 402,543 = 402,543 : x
  2. Step 2: Convert to fraction form
    166,278/402,543 = 402,543/x
  3. Step 3: Cross multiply
    166,278x = 402,543 × 402,543
  4. Step 4: Simplify right side
    166,278x = 162,040,866,849
  5. Step 5: Solve for x
    x = 162,040,866,849/166,278
  6. Step 6: Final answer
    x = 974,517.78

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.