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Finding the Third Proportional to 728,278 and 1,491,540

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Solution

The third proportional to 728,278 and 1,491,540 is: 3,054,728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,278 : 1,491,540 = 1,491,540 : x
  2. Step 2: Convert to fraction form
    728,278/1,491,540 = 1,491,540/x
  3. Step 3: Cross multiply
    728,278x = 1,491,540 × 1,491,540
  4. Step 4: Simplify right side
    728,278x = 2,224,691,571,600
  5. Step 5: Solve for x
    x = 2,224,691,571,600/728,278
  6. Step 6: Final answer
    x = 3,054,728.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.