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Finding the Third Proportional to 123,977 and 268,555

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Solution

The third proportional to 123,977 and 268,555 is: 581,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,977 : 268,555 = 268,555 : x
  2. Step 2: Convert to fraction form
    123,977/268,555 = 268,555/x
  3. Step 3: Cross multiply
    123,977x = 268,555 × 268,555
  4. Step 4: Simplify right side
    123,977x = 72,121,788,025
  5. Step 5: Solve for x
    x = 72,121,788,025/123,977
  6. Step 6: Final answer
    x = 581,735.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.