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Finding the Third Proportional to 388,037 and 844,420

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Solution

The third proportional to 388,037 and 844,420 is: 1,837,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,037 : 844,420 = 844,420 : x
  2. Step 2: Convert to fraction form
    388,037/844,420 = 844,420/x
  3. Step 3: Cross multiply
    388,037x = 844,420 × 844,420
  4. Step 4: Simplify right side
    388,037x = 713,045,136,400
  5. Step 5: Solve for x
    x = 713,045,136,400/388,037
  6. Step 6: Final answer
    x = 1,837,569.96

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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.