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Finding the Third Proportional to 200,490 and 440,382

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Solution

The third proportional to 200,490 and 440,382 is: 967,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,490 : 440,382 = 440,382 : x
  2. Step 2: Convert to fraction form
    200,490/440,382 = 440,382/x
  3. Step 3: Cross multiply
    200,490x = 440,382 × 440,382
  4. Step 4: Simplify right side
    200,490x = 193,936,305,924
  5. Step 5: Solve for x
    x = 193,936,305,924/200,490
  6. Step 6: Final answer
    x = 967,311.62

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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.