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Finding the Third Proportional to 80,030 and 172,204

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Solution

The third proportional to 80,030 and 172,204 is: 370,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,030 : 172,204 = 172,204 : x
  2. Step 2: Convert to fraction form
    80,030/172,204 = 172,204/x
  3. Step 3: Cross multiply
    80,030x = 172,204 × 172,204
  4. Step 4: Simplify right side
    80,030x = 29,654,217,616
  5. Step 5: Solve for x
    x = 29,654,217,616/80,030
  6. Step 6: Final answer
    x = 370,538.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.