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Finding the Third Proportional to 127,636 and 281,352

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Solution

The third proportional to 127,636 and 281,352 is: 620,192.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,636 : 281,352 = 281,352 : x
  2. Step 2: Convert to fraction form
    127,636/281,352 = 281,352/x
  3. Step 3: Cross multiply
    127,636x = 281,352 × 281,352
  4. Step 4: Simplify right side
    127,636x = 79,158,947,904
  5. Step 5: Solve for x
    x = 79,158,947,904/127,636
  6. Step 6: Final answer
    x = 620,192.95

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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.