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Finding the Third Proportional to 172,804 and 354,217

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Solution

The third proportional to 172,804 and 354,217 is: 726,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,804 : 354,217 = 354,217 : x
  2. Step 2: Convert to fraction form
    172,804/354,217 = 354,217/x
  3. Step 3: Cross multiply
    172,804x = 354,217 × 354,217
  4. Step 4: Simplify right side
    172,804x = 125,469,683,089
  5. Step 5: Solve for x
    x = 125,469,683,089/172,804
  6. Step 6: Final answer
    x = 726,080.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.