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Finding the Third Proportional to 689,659 and 1,503,470

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Solution

The third proportional to 689,659 and 1,503,470 is: 3,277,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,659 : 1,503,470 = 1,503,470 : x
  2. Step 2: Convert to fraction form
    689,659/1,503,470 = 1,503,470/x
  3. Step 3: Cross multiply
    689,659x = 1,503,470 × 1,503,470
  4. Step 4: Simplify right side
    689,659x = 2,260,422,040,900
  5. Step 5: Solve for x
    x = 2,260,422,040,900/689,659
  6. Step 6: Final answer
    x = 3,277,593.77

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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.