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Finding the Third Proportional to 399,981 and 844,926

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Solution

The third proportional to 399,981 and 844,926 is: 1,784,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,981 : 844,926 = 844,926 : x
  2. Step 2: Convert to fraction form
    399,981/844,926 = 844,926/x
  3. Step 3: Cross multiply
    399,981x = 844,926 × 844,926
  4. Step 4: Simplify right side
    399,981x = 713,899,945,476
  5. Step 5: Solve for x
    x = 713,899,945,476/399,981
  6. Step 6: Final answer
    x = 1,784,834.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.