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Finding the Third Proportional to 99,198.75 and 220,468.50

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Solution

The third proportional to 99,198.75 and 220,468.50 is: 489,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,198.75 : 220,468.50 = 220,468.50 : x
  2. Step 2: Convert to fraction form
    99,198.75/220,468.50 = 220,468.50/x
  3. Step 3: Cross multiply
    99,198.75x = 220,468.50 × 220,468.50
  4. Step 4: Simplify right side
    99,198.75x = 48,606,359,492.25
  5. Step 5: Solve for x
    x = 48,606,359,492.25/99,198.75
  6. Step 6: Final answer
    x = 489,989.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.