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Finding the Third Proportional to 156,745 and 204,195

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Solution

The third proportional to 156,745 and 204,195 is: 266,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,745 : 204,195 = 204,195 : x
  2. Step 2: Convert to fraction form
    156,745/204,195 = 204,195/x
  3. Step 3: Cross multiply
    156,745x = 204,195 × 204,195
  4. Step 4: Simplify right side
    156,745x = 41,695,598,025
  5. Step 5: Solve for x
    x = 41,695,598,025/156,745
  6. Step 6: Final answer
    x = 266,009.11

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.