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Finding the Third Proportional to 200,875 and 418,393

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Solution

The third proportional to 200,875 and 418,393 is: 871,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,875 : 418,393 = 418,393 : x
  2. Step 2: Convert to fraction form
    200,875/418,393 = 418,393/x
  3. Step 3: Cross multiply
    200,875x = 418,393 × 418,393
  4. Step 4: Simplify right side
    200,875x = 175,052,702,449
  5. Step 5: Solve for x
    x = 175,052,702,449/200,875
  6. Step 6: Final answer
    x = 871,450.91

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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.