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Finding the Third Proportional to 200,977 and 418,492

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Solution

The third proportional to 200,977 and 418,492 is: 871,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,977 : 418,492 = 418,492 : x
  2. Step 2: Convert to fraction form
    200,977/418,492 = 418,492/x
  3. Step 3: Cross multiply
    200,977x = 418,492 × 418,492
  4. Step 4: Simplify right side
    200,977x = 175,135,554,064
  5. Step 5: Solve for x
    x = 175,135,554,064/200,977
  6. Step 6: Final answer
    x = 871,420.88

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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.