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Finding the Third Proportional to 90,777.75 and 199,474.50

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Solution

The third proportional to 90,777.75 and 199,474.50 is: 438,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,777.75 : 199,474.50 = 199,474.50 : x
  2. Step 2: Convert to fraction form
    90,777.75/199,474.50 = 199,474.50/x
  3. Step 3: Cross multiply
    90,777.75x = 199,474.50 × 199,474.50
  4. Step 4: Simplify right side
    90,777.75x = 39,790,076,150.25
  5. Step 5: Solve for x
    x = 39,790,076,150.25/90,777.75
  6. Step 6: Final answer
    x = 438,324.11

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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.