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Finding the Third Proportional to 200,975 and 442,431

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Solution

The third proportional to 200,975 and 442,431 is: 973,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,975 : 442,431 = 442,431 : x
  2. Step 2: Convert to fraction form
    200,975/442,431 = 442,431/x
  3. Step 3: Cross multiply
    200,975x = 442,431 × 442,431
  4. Step 4: Simplify right side
    200,975x = 195,745,189,761
  5. Step 5: Solve for x
    x = 195,745,189,761/200,975
  6. Step 6: Final answer
    x = 973,977.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.