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Finding the Third Proportional to 88,204.50 and 208,183.50

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Solution

The third proportional to 88,204.50 and 208,183.50 is: 491,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,204.50 : 208,183.50 = 208,183.50 : x
  2. Step 2: Convert to fraction form
    88,204.50/208,183.50 = 208,183.50/x
  3. Step 3: Cross multiply
    88,204.50x = 208,183.50 × 208,183.50
  4. Step 4: Simplify right side
    88,204.50x = 43,340,369,672.25
  5. Step 5: Solve for x
    x = 43,340,369,672.25/88,204.50
  6. Step 6: Final answer
    x = 491,362.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.