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Finding the Third Proportional to 125,678 and 269,348

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Solution

The third proportional to 125,678 and 269,348 is: 577,255.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,678 : 269,348 = 269,348 : x
  2. Step 2: Convert to fraction form
    125,678/269,348 = 269,348/x
  3. Step 3: Cross multiply
    125,678x = 269,348 × 269,348
  4. Step 4: Simplify right side
    125,678x = 72,548,345,104
  5. Step 5: Solve for x
    x = 72,548,345,104/125,678
  6. Step 6: Final answer
    x = 577,255.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.