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Finding the Third Proportional to 108,869 and 156,013

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Solution

The third proportional to 108,869 and 156,013 is: 223,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,869 : 156,013 = 156,013 : x
  2. Step 2: Convert to fraction form
    108,869/156,013 = 156,013/x
  3. Step 3: Cross multiply
    108,869x = 156,013 × 156,013
  4. Step 4: Simplify right side
    108,869x = 24,340,056,169
  5. Step 5: Solve for x
    x = 24,340,056,169/108,869
  6. Step 6: Final answer
    x = 223,571.96

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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.