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Finding the Third Proportional to 200,980 and 418,498

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Solution

The third proportional to 200,980 and 418,498 is: 871,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,980 : 418,498 = 418,498 : x
  2. Step 2: Convert to fraction form
    200,980/418,498 = 418,498/x
  3. Step 3: Cross multiply
    200,980x = 418,498 × 418,498
  4. Step 4: Simplify right side
    200,980x = 175,140,576,004
  5. Step 5: Solve for x
    x = 175,140,576,004/200,980
  6. Step 6: Final answer
    x = 871,432.86

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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.