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Finding the Third Proportional to 689,660 and 1,503,474

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Solution

The third proportional to 689,660 and 1,503,474 is: 3,277,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,660 : 1,503,474 = 1,503,474 : x
  2. Step 2: Convert to fraction form
    689,660/1,503,474 = 1,503,474/x
  3. Step 3: Cross multiply
    689,660x = 1,503,474 × 1,503,474
  4. Step 4: Simplify right side
    689,660x = 2,260,434,068,676
  5. Step 5: Solve for x
    x = 2,260,434,068,676/689,660
  6. Step 6: Final answer
    x = 3,277,606.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.