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Finding the Third Proportional to 200,976.75 and 418,491

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Solution

The third proportional to 200,976.75 and 418,491 is: 871,417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,976.75 : 418,491 = 418,491 : x
  2. Step 2: Convert to fraction form
    200,976.75/418,491 = 418,491/x
  3. Step 3: Cross multiply
    200,976.75x = 418,491 × 418,491
  4. Step 4: Simplify right side
    200,976.75x = 175,134,717,081
  5. Step 5: Solve for x
    x = 175,134,717,081/200,976.75
  6. Step 6: Final answer
    x = 871,417.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.