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Finding the Third Proportional to 79,318 and 171,703

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Solution

The third proportional to 79,318 and 171,703 is: 371,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,318 : 171,703 = 171,703 : x
  2. Step 2: Convert to fraction form
    79,318/171,703 = 171,703/x
  3. Step 3: Cross multiply
    79,318x = 171,703 × 171,703
  4. Step 4: Simplify right side
    79,318x = 29,481,920,209
  5. Step 5: Solve for x
    x = 29,481,920,209/79,318
  6. Step 6: Final answer
    x = 371,692.68

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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.