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Finding the Third Proportional to 202,068 and 303,102

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Solution

The third proportional to 202,068 and 303,102 is: 454,653

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,068 : 303,102 = 303,102 : x
  2. Step 2: Convert to fraction form
    202,068/303,102 = 303,102/x
  3. Step 3: Cross multiply
    202,068x = 303,102 × 303,102
  4. Step 4: Simplify right side
    202,068x = 91,870,822,404
  5. Step 5: Solve for x
    x = 91,870,822,404/202,068
  6. Step 6: Final answer
    x = 454,653

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.