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Finding the Third Proportional to 156,600 and 252,131

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Solution

The third proportional to 156,600 and 252,131 is: 405,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,600 : 252,131 = 252,131 : x
  2. Step 2: Convert to fraction form
    156,600/252,131 = 252,131/x
  3. Step 3: Cross multiply
    156,600x = 252,131 × 252,131
  4. Step 4: Simplify right side
    156,600x = 63,570,041,161
  5. Step 5: Solve for x
    x = 63,570,041,161/156,600
  6. Step 6: Final answer
    x = 405,938.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.