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Finding the Third Proportional to 172,102 and 372,806

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Solution

The third proportional to 172,102 and 372,806 is: 807,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,102 : 372,806 = 372,806 : x
  2. Step 2: Convert to fraction form
    172,102/372,806 = 372,806/x
  3. Step 3: Cross multiply
    172,102x = 372,806 × 372,806
  4. Step 4: Simplify right side
    172,102x = 138,984,313,636
  5. Step 5: Solve for x
    x = 138,984,313,636/172,102
  6. Step 6: Final answer
    x = 807,569.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.