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Finding the Third Proportional to 200,981 and 441,409

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Solution

The third proportional to 200,981 and 441,409 is: 969,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,981 : 441,409 = 441,409 : x
  2. Step 2: Convert to fraction form
    200,981/441,409 = 441,409/x
  3. Step 3: Cross multiply
    200,981x = 441,409 × 441,409
  4. Step 4: Simplify right side
    200,981x = 194,841,905,281
  5. Step 5: Solve for x
    x = 194,841,905,281/200,981
  6. Step 6: Final answer
    x = 969,454.35

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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.