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Finding the Third Proportional to 172,320 and 372,320

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Solution

The third proportional to 172,320 and 372,320 is: 804,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,320 : 372,320 = 372,320 : x
  2. Step 2: Convert to fraction form
    172,320/372,320 = 372,320/x
  3. Step 3: Cross multiply
    172,320x = 372,320 × 372,320
  4. Step 4: Simplify right side
    172,320x = 138,622,182,400
  5. Step 5: Solve for x
    x = 138,622,182,400/172,320
  6. Step 6: Final answer
    x = 804,446.28

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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.