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Finding the Third Proportional to 172,806 and 354,221

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Solution

The third proportional to 172,806 and 354,221 is: 726,088.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,806 : 354,221 = 354,221 : x
  2. Step 2: Convert to fraction form
    172,806/354,221 = 354,221/x
  3. Step 3: Cross multiply
    172,806x = 354,221 × 354,221
  4. Step 4: Simplify right side
    172,806x = 125,472,516,841
  5. Step 5: Solve for x
    x = 125,472,516,841/172,806
  6. Step 6: Final answer
    x = 726,088.89

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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.