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Finding the Third Proportional to 79,921 and 175,394

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Solution

The third proportional to 79,921 and 175,394 is: 384,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,921 : 175,394 = 175,394 : x
  2. Step 2: Convert to fraction form
    79,921/175,394 = 175,394/x
  3. Step 3: Cross multiply
    79,921x = 175,394 × 175,394
  4. Step 4: Simplify right side
    79,921x = 30,763,055,236
  5. Step 5: Solve for x
    x = 30,763,055,236/79,921
  6. Step 6: Final answer
    x = 384,918.30

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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.