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Finding the Third Proportional to 142,381 and 206,227

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Solution

The third proportional to 142,381 and 206,227 is: 298,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,381 : 206,227 = 206,227 : x
  2. Step 2: Convert to fraction form
    142,381/206,227 = 206,227/x
  3. Step 3: Cross multiply
    142,381x = 206,227 × 206,227
  4. Step 4: Simplify right side
    142,381x = 42,529,575,529
  5. Step 5: Solve for x
    x = 42,529,575,529/142,381
  6. Step 6: Final answer
    x = 298,702.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.