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Finding the Third Proportional to 431,013 and 649,800

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Solution

The third proportional to 431,013 and 649,800 is: 979,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,013 : 649,800 = 649,800 : x
  2. Step 2: Convert to fraction form
    431,013/649,800 = 649,800/x
  3. Step 3: Cross multiply
    431,013x = 649,800 × 649,800
  4. Step 4: Simplify right side
    431,013x = 422,240,040,000
  5. Step 5: Solve for x
    x = 422,240,040,000/431,013
  6. Step 6: Final answer
    x = 979,645.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.