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Finding the Third Proportional to 8,263 and 13,301.75

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Solution

The third proportional to 8,263 and 13,301.75 is: 21,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263 : 13,301.75 = 13,301.75 : x
  2. Step 2: Convert to fraction form
    8,263/13,301.75 = 13,301.75/x
  3. Step 3: Cross multiply
    8,263x = 13,301.75 × 13,301.75
  4. Step 4: Simplify right side
    8,263x = 176,936,553.06
  5. Step 5: Solve for x
    x = 176,936,553.06/8,263
  6. Step 6: Final answer
    x = 21,413.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.