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Finding the Third Proportional to 694,444.50 and 991,150.50

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Solution

The third proportional to 694,444.50 and 991,150.50 is: 1,414,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,444.50 : 991,150.50 = 991,150.50 : x
  2. Step 2: Convert to fraction form
    694,444.50/991,150.50 = 991,150.50/x
  3. Step 3: Cross multiply
    694,444.50x = 991,150.50 × 991,150.50
  4. Step 4: Simplify right side
    694,444.50x = 982,379,313,650.25
  5. Step 5: Solve for x
    x = 982,379,313,650.25/694,444.50
  6. Step 6: Final answer
    x = 1,414,626.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.