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Finding the Third Proportional to 78,519 and 163,086

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Solution

The third proportional to 78,519 and 163,086 is: 338,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,519 : 163,086 = 163,086 : x
  2. Step 2: Convert to fraction form
    78,519/163,086 = 163,086/x
  3. Step 3: Cross multiply
    78,519x = 163,086 × 163,086
  4. Step 4: Simplify right side
    78,519x = 26,597,043,396
  5. Step 5: Solve for x
    x = 26,597,043,396/78,519
  6. Step 6: Final answer
    x = 338,733.85

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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.