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Finding the Third Proportional to 140,600 and 292,866

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Solution

The third proportional to 140,600 and 292,866 is: 610,031.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,600 : 292,866 = 292,866 : x
  2. Step 2: Convert to fraction form
    140,600/292,866 = 292,866/x
  3. Step 3: Cross multiply
    140,600x = 292,866 × 292,866
  4. Step 4: Simplify right side
    140,600x = 85,770,493,956
  5. Step 5: Solve for x
    x = 85,770,493,956/140,600
  6. Step 6: Final answer
    x = 610,031.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.