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Finding the Third Proportional to 123,680 and 251,679

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Solution

The third proportional to 123,680 and 251,679 is: 512,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,680 : 251,679 = 251,679 : x
  2. Step 2: Convert to fraction form
    123,680/251,679 = 251,679/x
  3. Step 3: Cross multiply
    123,680x = 251,679 × 251,679
  4. Step 4: Simplify right side
    123,680x = 63,342,319,041
  5. Step 5: Solve for x
    x = 63,342,319,041/123,680
  6. Step 6: Final answer
    x = 512,146.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.