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Finding the Third Proportional to 691,821 and 883,993

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Solution

The third proportional to 691,821 and 883,993 is: 1,129,545.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,821 : 883,993 = 883,993 : x
  2. Step 2: Convert to fraction form
    691,821/883,993 = 883,993/x
  3. Step 3: Cross multiply
    691,821x = 883,993 × 883,993
  4. Step 4: Simplify right side
    691,821x = 781,443,624,049
  5. Step 5: Solve for x
    x = 781,443,624,049/691,821
  6. Step 6: Final answer
    x = 1,129,545.97

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.