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Finding the Third Proportional to 649,820 and 1,351,642

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Solution

The third proportional to 649,820 and 1,351,642 is: 2,811,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,820 : 1,351,642 = 1,351,642 : x
  2. Step 2: Convert to fraction form
    649,820/1,351,642 = 1,351,642/x
  3. Step 3: Cross multiply
    649,820x = 1,351,642 × 1,351,642
  4. Step 4: Simplify right side
    649,820x = 1,826,936,096,164
  5. Step 5: Solve for x
    x = 1,826,936,096,164/649,820
  6. Step 6: Final answer
    x = 2,811,449.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.