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Finding the Third Proportional to 156,717 and 204,153

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Solution

The third proportional to 156,717 and 204,153 is: 265,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,717 : 204,153 = 204,153 : x
  2. Step 2: Convert to fraction form
    156,717/204,153 = 204,153/x
  3. Step 3: Cross multiply
    156,717x = 204,153 × 204,153
  4. Step 4: Simplify right side
    156,717x = 41,678,447,409
  5. Step 5: Solve for x
    x = 41,678,447,409/156,717
  6. Step 6: Final answer
    x = 265,947.20

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Why These Related Problems?

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