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Finding the Third Proportional to 388,601 and 840,404

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Solution

The third proportional to 388,601 and 840,404 is: 1,817,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,601 : 840,404 = 840,404 : x
  2. Step 2: Convert to fraction form
    388,601/840,404 = 840,404/x
  3. Step 3: Cross multiply
    388,601x = 840,404 × 840,404
  4. Step 4: Simplify right side
    388,601x = 706,278,883,216
  5. Step 5: Solve for x
    x = 706,278,883,216/388,601
  6. Step 6: Final answer
    x = 1,817,491.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.