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Finding the Third Proportional to 172,362 and 372,396

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Solution

The third proportional to 172,362 and 372,396 is: 804,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,362 : 372,396 = 372,396 : x
  2. Step 2: Convert to fraction form
    172,362/372,396 = 372,396/x
  3. Step 3: Cross multiply
    172,362x = 372,396 × 372,396
  4. Step 4: Simplify right side
    172,362x = 138,678,780,816
  5. Step 5: Solve for x
    x = 138,678,780,816/172,362
  6. Step 6: Final answer
    x = 804,578.62

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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.