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Finding the Third Proportional to 208,299.75 and 311,086.50

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Solution

The third proportional to 208,299.75 and 311,086.50 is: 464,593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,299.75 : 311,086.50 = 311,086.50 : x
  2. Step 2: Convert to fraction form
    208,299.75/311,086.50 = 311,086.50/x
  3. Step 3: Cross multiply
    208,299.75x = 311,086.50 × 311,086.50
  4. Step 4: Simplify right side
    208,299.75x = 96,774,810,482.25
  5. Step 5: Solve for x
    x = 96,774,810,482.25/208,299.75
  6. Step 6: Final answer
    x = 464,593.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.