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Finding the Third Proportional to 1,728,418.50 and 2,489,856.47

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Solution

The third proportional to 1,728,418.50 and 2,489,856.47 is: 3,586,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,418.50 : 2,489,856.47 = 2,489,856.47 : x
  2. Step 2: Convert to fraction form
    1,728,418.50/2,489,856.47 = 2,489,856.47/x
  3. Step 3: Cross multiply
    1,728,418.50x = 2,489,856.47 × 2,489,856.47
  4. Step 4: Simplify right side
    1,728,418.50x = 6,199,385,234,976.22
  5. Step 5: Solve for x
    x = 6,199,385,234,976.22/1,728,418.50
  6. Step 6: Final answer
    x = 3,586,738.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.