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Finding the Third Proportional to 649,400 and 1,395,376

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Solution

The third proportional to 649,400 and 1,395,376 is: 2,998,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,400 : 1,395,376 = 1,395,376 : x
  2. Step 2: Convert to fraction form
    649,400/1,395,376 = 1,395,376/x
  3. Step 3: Cross multiply
    649,400x = 1,395,376 × 1,395,376
  4. Step 4: Simplify right side
    649,400x = 1,947,074,181,376
  5. Step 5: Solve for x
    x = 1,947,074,181,376/649,400
  6. Step 6: Final answer
    x = 2,998,266.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.