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Finding the Third Proportional to 41,076 and 91,507.50

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Solution

The third proportional to 41,076 and 91,507.50 is: 203,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,076 : 91,507.50 = 91,507.50 : x
  2. Step 2: Convert to fraction form
    41,076/91,507.50 = 91,507.50/x
  3. Step 3: Cross multiply
    41,076x = 91,507.50 × 91,507.50
  4. Step 4: Simplify right side
    41,076x = 8,373,622,556.25
  5. Step 5: Solve for x
    x = 8,373,622,556.25/41,076
  6. Step 6: Final answer
    x = 203,856.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.