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Finding the Third Proportional to 686,721 and 1,491,659

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Solution

The third proportional to 686,721 and 1,491,659 is: 3,240,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,721 : 1,491,659 = 1,491,659 : x
  2. Step 2: Convert to fraction form
    686,721/1,491,659 = 1,491,659/x
  3. Step 3: Cross multiply
    686,721x = 1,491,659 × 1,491,659
  4. Step 4: Simplify right side
    686,721x = 2,225,046,572,281
  5. Step 5: Solve for x
    x = 2,225,046,572,281/686,721
  6. Step 6: Final answer
    x = 3,240,102.71

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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.