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Finding the Third Proportional to 453,843 and 990,780

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Solution

The third proportional to 453,843 and 990,780 is: 2,162,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,843 : 990,780 = 990,780 : x
  2. Step 2: Convert to fraction form
    453,843/990,780 = 990,780/x
  3. Step 3: Cross multiply
    453,843x = 990,780 × 990,780
  4. Step 4: Simplify right side
    453,843x = 981,645,008,400
  5. Step 5: Solve for x
    x = 981,645,008,400/453,843
  6. Step 6: Final answer
    x = 2,162,961.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.