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Finding the Third Proportional to 125,256 and 268,728

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Solution

The third proportional to 125,256 and 268,728 is: 576,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,256 : 268,728 = 268,728 : x
  2. Step 2: Convert to fraction form
    125,256/268,728 = 268,728/x
  3. Step 3: Cross multiply
    125,256x = 268,728 × 268,728
  4. Step 4: Simplify right side
    125,256x = 72,214,737,984
  5. Step 5: Solve for x
    x = 72,214,737,984/125,256
  6. Step 6: Final answer
    x = 576,537.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.