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Finding the Third Proportional to 172,362 and 372,398

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Solution

The third proportional to 172,362 and 372,398 is: 804,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,362 : 372,398 = 372,398 : x
  2. Step 2: Convert to fraction form
    172,362/372,398 = 372,398/x
  3. Step 3: Cross multiply
    172,362x = 372,398 × 372,398
  4. Step 4: Simplify right side
    172,362x = 138,680,270,404
  5. Step 5: Solve for x
    x = 138,680,270,404/172,362
  6. Step 6: Final answer
    x = 804,587.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.