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Finding the Third Proportional to 69,187 and 103,781

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Solution

The third proportional to 69,187 and 103,781 is: 155,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,187 : 103,781 = 103,781 : x
  2. Step 2: Convert to fraction form
    69,187/103,781 = 103,781/x
  3. Step 3: Cross multiply
    69,187x = 103,781 × 103,781
  4. Step 4: Simplify right side
    69,187x = 10,770,495,961
  5. Step 5: Solve for x
    x = 10,770,495,961/69,187
  6. Step 6: Final answer
    x = 155,672.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.