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Finding the Third Proportional to 239,936 and 372,480

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Solution

The third proportional to 239,936 and 372,480 is: 578,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,936 : 372,480 = 372,480 : x
  2. Step 2: Convert to fraction form
    239,936/372,480 = 372,480/x
  3. Step 3: Cross multiply
    239,936x = 372,480 × 372,480
  4. Step 4: Simplify right side
    239,936x = 138,741,350,400
  5. Step 5: Solve for x
    x = 138,741,350,400/239,936
  6. Step 6: Final answer
    x = 578,243.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.