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Finding the Third Proportional to 172,497 and 371,223

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Solution

The third proportional to 172,497 and 371,223 is: 798,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,497 : 371,223 = 371,223 : x
  2. Step 2: Convert to fraction form
    172,497/371,223 = 371,223/x
  3. Step 3: Cross multiply
    172,497x = 371,223 × 371,223
  4. Step 4: Simplify right side
    172,497x = 137,806,515,729
  5. Step 5: Solve for x
    x = 137,806,515,729/172,497
  6. Step 6: Final answer
    x = 798,892.25

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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.