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Finding the Third Proportional to 99,777.75 and 204,216.75

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Solution

The third proportional to 99,777.75 and 204,216.75 is: 417,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,777.75 : 204,216.75 = 204,216.75 : x
  2. Step 2: Convert to fraction form
    99,777.75/204,216.75 = 204,216.75/x
  3. Step 3: Cross multiply
    99,777.75x = 204,216.75 × 204,216.75
  4. Step 4: Simplify right side
    99,777.75x = 41,704,480,980.56
  5. Step 5: Solve for x
    x = 41,704,480,980.56/99,777.75
  6. Step 6: Final answer
    x = 417,973.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.