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Finding the Third Proportional to 200,626 and 311,654

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Solution

The third proportional to 200,626 and 311,654 is: 484,125.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,626 : 311,654 = 311,654 : x
  2. Step 2: Convert to fraction form
    200,626/311,654 = 311,654/x
  3. Step 3: Cross multiply
    200,626x = 311,654 × 311,654
  4. Step 4: Simplify right side
    200,626x = 97,128,215,716
  5. Step 5: Solve for x
    x = 97,128,215,716/200,626
  6. Step 6: Final answer
    x = 484,125.76

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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.