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Finding the Third Proportional to 173,781 and 268,653

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Solution

The third proportional to 173,781 and 268,653 is: 415,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,781 : 268,653 = 268,653 : x
  2. Step 2: Convert to fraction form
    173,781/268,653 = 268,653/x
  3. Step 3: Cross multiply
    173,781x = 268,653 × 268,653
  4. Step 4: Simplify right side
    173,781x = 72,174,434,409
  5. Step 5: Solve for x
    x = 72,174,434,409/173,781
  6. Step 6: Final answer
    x = 415,318.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.