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Finding the Third Proportional to 47,631 and 103,727

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Solution

The third proportional to 47,631 and 103,727 is: 225,888.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,631 : 103,727 = 103,727 : x
  2. Step 2: Convert to fraction form
    47,631/103,727 = 103,727/x
  3. Step 3: Cross multiply
    47,631x = 103,727 × 103,727
  4. Step 4: Simplify right side
    47,631x = 10,759,290,529
  5. Step 5: Solve for x
    x = 10,759,290,529/47,631
  6. Step 6: Final answer
    x = 225,888.40

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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.