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Finding the Third Proportional to 200,871 and 418,385

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Solution

The third proportional to 200,871 and 418,385 is: 871,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,871 : 418,385 = 418,385 : x
  2. Step 2: Convert to fraction form
    200,871/418,385 = 418,385/x
  3. Step 3: Cross multiply
    200,871x = 418,385 × 418,385
  4. Step 4: Simplify right side
    200,871x = 175,046,008,225
  5. Step 5: Solve for x
    x = 175,046,008,225/200,871
  6. Step 6: Final answer
    x = 871,434.94

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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.