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Finding the Third Proportional to 78,193 and 168,785

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Solution

The third proportional to 78,193 and 168,785 is: 364,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,193 : 168,785 = 168,785 : x
  2. Step 2: Convert to fraction form
    78,193/168,785 = 168,785/x
  3. Step 3: Cross multiply
    78,193x = 168,785 × 168,785
  4. Step 4: Simplify right side
    78,193x = 28,488,376,225
  5. Step 5: Solve for x
    x = 28,488,376,225/78,193
  6. Step 6: Final answer
    x = 364,334.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.