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Finding the Third Proportional to 127,911 and 281,202

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Solution

The third proportional to 127,911 and 281,202 is: 618,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,911 : 281,202 = 281,202 : x
  2. Step 2: Convert to fraction form
    127,911/281,202 = 281,202/x
  3. Step 3: Cross multiply
    127,911x = 281,202 × 281,202
  4. Step 4: Simplify right side
    127,911x = 79,074,564,804
  5. Step 5: Solve for x
    x = 79,074,564,804/127,911
  6. Step 6: Final answer
    x = 618,199.88

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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.