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Finding the Third Proportional to 677,675 and 993,879

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Solution

The third proportional to 677,675 and 993,879 is: 1,457,624.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,675 : 993,879 = 993,879 : x
  2. Step 2: Convert to fraction form
    677,675/993,879 = 993,879/x
  3. Step 3: Cross multiply
    677,675x = 993,879 × 993,879
  4. Step 4: Simplify right side
    677,675x = 987,795,466,641
  5. Step 5: Solve for x
    x = 987,795,466,641/677,675
  6. Step 6: Final answer
    x = 1,457,624.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.