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Finding the Third Proportional to 200,626 and 311,653

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Solution

The third proportional to 200,626 and 311,653 is: 484,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,626 : 311,653 = 311,653 : x
  2. Step 2: Convert to fraction form
    200,626/311,653 = 311,653/x
  3. Step 3: Cross multiply
    200,626x = 311,653 × 311,653
  4. Step 4: Simplify right side
    200,626x = 97,127,592,409
  5. Step 5: Solve for x
    x = 97,127,592,409/200,626
  6. Step 6: Final answer
    x = 484,122.66

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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.