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Finding the Third Proportional to 83,678 and 183,887

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Solution

The third proportional to 83,678 and 183,887 is: 404,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,678 : 183,887 = 183,887 : x
  2. Step 2: Convert to fraction form
    83,678/183,887 = 183,887/x
  3. Step 3: Cross multiply
    83,678x = 183,887 × 183,887
  4. Step 4: Simplify right side
    83,678x = 33,814,428,769
  5. Step 5: Solve for x
    x = 33,814,428,769/83,678
  6. Step 6: Final answer
    x = 404,101.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.