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Finding the Third Proportional to 127,728 and 281,376

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Solution

The third proportional to 127,728 and 281,376 is: 619,851.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,728 : 281,376 = 281,376 : x
  2. Step 2: Convert to fraction form
    127,728/281,376 = 281,376/x
  3. Step 3: Cross multiply
    127,728x = 281,376 × 281,376
  4. Step 4: Simplify right side
    127,728x = 79,172,453,376
  5. Step 5: Solve for x
    x = 79,172,453,376/127,728
  6. Step 6: Final answer
    x = 619,851.98

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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.