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Finding the Third Proportional to 411,261 and 990,747

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Solution

The third proportional to 411,261 and 990,747 is: 2,386,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,261 : 990,747 = 990,747 : x
  2. Step 2: Convert to fraction form
    411,261/990,747 = 990,747/x
  3. Step 3: Cross multiply
    411,261x = 990,747 × 990,747
  4. Step 4: Simplify right side
    411,261x = 981,579,618,009
  5. Step 5: Solve for x
    x = 981,579,618,009/411,261
  6. Step 6: Final answer
    x = 2,386,755.90

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.