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Finding the Third Proportional to 445,198 and 689,785

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Solution

The third proportional to 445,198 and 689,785 is: 1,068,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,198 : 689,785 = 689,785 : x
  2. Step 2: Convert to fraction form
    445,198/689,785 = 689,785/x
  3. Step 3: Cross multiply
    445,198x = 689,785 × 689,785
  4. Step 4: Simplify right side
    445,198x = 475,803,346,225
  5. Step 5: Solve for x
    x = 475,803,346,225/445,198
  6. Step 6: Final answer
    x = 1,068,745.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.