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Finding the Third Proportional to 83,949.75 and 132,927.75

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Solution

The third proportional to 83,949.75 and 132,927.75 is: 210,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,949.75 : 132,927.75 = 132,927.75 : x
  2. Step 2: Convert to fraction form
    83,949.75/132,927.75 = 132,927.75/x
  3. Step 3: Cross multiply
    83,949.75x = 132,927.75 × 132,927.75
  4. Step 4: Simplify right side
    83,949.75x = 17,669,786,720.06
  5. Step 5: Solve for x
    x = 17,669,786,720.06/83,949.75
  6. Step 6: Final answer
    x = 210,480.52

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.