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Finding the Third Proportional to 38,805 and 83,143.75

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Solution

The third proportional to 38,805 and 83,143.75 is: 178,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,805 : 83,143.75 = 83,143.75 : x
  2. Step 2: Convert to fraction form
    38,805/83,143.75 = 83,143.75/x
  3. Step 3: Cross multiply
    38,805x = 83,143.75 × 83,143.75
  4. Step 4: Simplify right side
    38,805x = 6,912,883,164.06
  5. Step 5: Solve for x
    x = 6,912,883,164.06/38,805
  6. Step 6: Final answer
    x = 178,144.14

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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.