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Finding the Third Proportional to 677,593 and 990,894

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Solution

The third proportional to 677,593 and 990,894 is: 1,449,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,593 : 990,894 = 990,894 : x
  2. Step 2: Convert to fraction form
    677,593/990,894 = 990,894/x
  3. Step 3: Cross multiply
    677,593x = 990,894 × 990,894
  4. Step 4: Simplify right side
    677,593x = 981,870,919,236
  5. Step 5: Solve for x
    x = 981,870,919,236/677,593
  6. Step 6: Final answer
    x = 1,449,057.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.