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Finding the Third Proportional to 109,456 and 239,480

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Solution

The third proportional to 109,456 and 239,480 is: 523,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,456 : 239,480 = 239,480 : x
  2. Step 2: Convert to fraction form
    109,456/239,480 = 239,480/x
  3. Step 3: Cross multiply
    109,456x = 239,480 × 239,480
  4. Step 4: Simplify right side
    109,456x = 57,350,670,400
  5. Step 5: Solve for x
    x = 57,350,670,400/109,456
  6. Step 6: Final answer
    x = 523,960.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.