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Finding the Third Proportional to 39,114 and 83,781

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Solution

The third proportional to 39,114 and 83,781 is: 179,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,114 : 83,781 = 83,781 : x
  2. Step 2: Convert to fraction form
    39,114/83,781 = 83,781/x
  3. Step 3: Cross multiply
    39,114x = 83,781 × 83,781
  4. Step 4: Simplify right side
    39,114x = 7,019,255,961
  5. Step 5: Solve for x
    x = 7,019,255,961/39,114
  6. Step 6: Final answer
    x = 179,456.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.