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Finding the Third Proportional to 686,723 and 1,491,663

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Solution

The third proportional to 686,723 and 1,491,663 is: 3,240,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,723 : 1,491,663 = 1,491,663 : x
  2. Step 2: Convert to fraction form
    686,723/1,491,663 = 1,491,663/x
  3. Step 3: Cross multiply
    686,723x = 1,491,663 × 1,491,663
  4. Step 4: Simplify right side
    686,723x = 2,225,058,505,569
  5. Step 5: Solve for x
    x = 2,225,058,505,569/686,723
  6. Step 6: Final answer
    x = 3,240,110.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.