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Finding the Third Proportional to 40,833 and 73,867.50

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Solution

The third proportional to 40,833 and 73,867.50 is: 133,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,833 : 73,867.50 = 73,867.50 : x
  2. Step 2: Convert to fraction form
    40,833/73,867.50 = 73,867.50/x
  3. Step 3: Cross multiply
    40,833x = 73,867.50 × 73,867.50
  4. Step 4: Simplify right side
    40,833x = 5,456,407,556.25
  5. Step 5: Solve for x
    x = 5,456,407,556.25/40,833
  6. Step 6: Final answer
    x = 133,627.40

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.