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Finding the Third Proportional to 664,816.50 and 940,789.13

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Solution

The third proportional to 664,816.50 and 940,789.13 is: 1,331,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,816.50 : 940,789.13 = 940,789.13 : x
  2. Step 2: Convert to fraction form
    664,816.50/940,789.13 = 940,789.13/x
  3. Step 3: Cross multiply
    664,816.50x = 940,789.13 × 940,789.13
  4. Step 4: Simplify right side
    664,816.50x = 885,084,177,718.27
  5. Step 5: Solve for x
    x = 885,084,177,718.27/664,816.50
  6. Step 6: Final answer
    x = 1,331,321.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.