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Finding the Third Proportional to 127,629 and 281,340

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Solution

The third proportional to 127,629 and 281,340 is: 620,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,629 : 281,340 = 281,340 : x
  2. Step 2: Convert to fraction form
    127,629/281,340 = 281,340/x
  3. Step 3: Cross multiply
    127,629x = 281,340 × 281,340
  4. Step 4: Simplify right side
    127,629x = 79,152,195,600
  5. Step 5: Solve for x
    x = 79,152,195,600/127,629
  6. Step 6: Final answer
    x = 620,174.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.