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Finding the Third Proportional to 127,920 and 200,232

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Solution

The third proportional to 127,920 and 200,232 is: 313,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,920 : 200,232 = 200,232 : x
  2. Step 2: Convert to fraction form
    127,920/200,232 = 200,232/x
  3. Step 3: Cross multiply
    127,920x = 200,232 × 200,232
  4. Step 4: Simplify right side
    127,920x = 40,092,853,824
  5. Step 5: Solve for x
    x = 40,092,853,824/127,920
  6. Step 6: Final answer
    x = 313,421.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.