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Finding the Third Proportional to 200,987 and 441,421

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Solution

The third proportional to 200,987 and 441,421 is: 969,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,987 : 441,421 = 441,421 : x
  2. Step 2: Convert to fraction form
    200,987/441,421 = 441,421/x
  3. Step 3: Cross multiply
    200,987x = 441,421 × 441,421
  4. Step 4: Simplify right side
    200,987x = 194,852,499,241
  5. Step 5: Solve for x
    x = 194,852,499,241/200,987
  6. Step 6: Final answer
    x = 969,478.12

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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.