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Finding the Third Proportional to 71,869 and 102,913

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Solution

The third proportional to 71,869 and 102,913 is: 147,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,869 : 102,913 = 102,913 : x
  2. Step 2: Convert to fraction form
    71,869/102,913 = 102,913/x
  3. Step 3: Cross multiply
    71,869x = 102,913 × 102,913
  4. Step 4: Simplify right side
    71,869x = 10,591,085,569
  5. Step 5: Solve for x
    x = 10,591,085,569/71,869
  6. Step 6: Final answer
    x = 147,366.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.