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Finding the Third Proportional to 649,306.50 and 998,584.50

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Solution

The third proportional to 649,306.50 and 998,584.50 is: 1,535,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,306.50 : 998,584.50 = 998,584.50 : x
  2. Step 2: Convert to fraction form
    649,306.50/998,584.50 = 998,584.50/x
  3. Step 3: Cross multiply
    649,306.50x = 998,584.50 × 998,584.50
  4. Step 4: Simplify right side
    649,306.50x = 997,171,003,640.25
  5. Step 5: Solve for x
    x = 997,171,003,640.25/649,306.50
  6. Step 6: Final answer
    x = 1,535,747.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.