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Finding the Third Proportional to 200,901.75 and 311,275.50

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Solution

The third proportional to 200,901.75 and 311,275.50 is: 482,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,901.75 : 311,275.50 = 311,275.50 : x
  2. Step 2: Convert to fraction form
    200,901.75/311,275.50 = 311,275.50/x
  3. Step 3: Cross multiply
    200,901.75x = 311,275.50 × 311,275.50
  4. Step 4: Simplify right side
    200,901.75x = 96,892,436,900.25
  5. Step 5: Solve for x
    x = 96,892,436,900.25/200,901.75
  6. Step 6: Final answer
    x = 482,287.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.