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Finding the Third Proportional to 31,869 and 69,877

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Solution

The third proportional to 31,869 and 69,877 is: 153,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,869 : 69,877 = 69,877 : x
  2. Step 2: Convert to fraction form
    31,869/69,877 = 69,877/x
  3. Step 3: Cross multiply
    31,869x = 69,877 × 69,877
  4. Step 4: Simplify right side
    31,869x = 4,882,795,129
  5. Step 5: Solve for x
    x = 4,882,795,129/31,869
  6. Step 6: Final answer
    x = 153,214.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.