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Finding the Third Proportional to 123,555 and 269,286

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Solution

The third proportional to 123,555 and 269,286 is: 586,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,555 : 269,286 = 269,286 : x
  2. Step 2: Convert to fraction form
    123,555/269,286 = 269,286/x
  3. Step 3: Cross multiply
    123,555x = 269,286 × 269,286
  4. Step 4: Simplify right side
    123,555x = 72,514,949,796
  5. Step 5: Solve for x
    x = 72,514,949,796/123,555
  6. Step 6: Final answer
    x = 586,904.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.