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Finding the Third Proportional to 78,969 and 172,701

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Solution

The third proportional to 78,969 and 172,701 is: 377,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,969 : 172,701 = 172,701 : x
  2. Step 2: Convert to fraction form
    78,969/172,701 = 172,701/x
  3. Step 3: Cross multiply
    78,969x = 172,701 × 172,701
  4. Step 4: Simplify right side
    78,969x = 29,825,635,401
  5. Step 5: Solve for x
    x = 29,825,635,401/78,969
  6. Step 6: Final answer
    x = 377,687.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.