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Finding the Third Proportional to 422,944.50 and 647,812.50

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Solution

The third proportional to 422,944.50 and 647,812.50 is: 992,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,944.50 : 647,812.50 = 647,812.50 : x
  2. Step 2: Convert to fraction form
    422,944.50/647,812.50 = 647,812.50/x
  3. Step 3: Cross multiply
    422,944.50x = 647,812.50 × 647,812.50
  4. Step 4: Simplify right side
    422,944.50x = 419,661,035,156.25
  5. Step 5: Solve for x
    x = 419,661,035,156.25/422,944.50
  6. Step 6: Final answer
    x = 992,236.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.