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Finding the Third Proportional to 444,879.13 and 689,435.06

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Solution

The third proportional to 444,879.13 and 689,435.06 is: 1,068,426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,879.13 : 689,435.06 = 689,435.06 : x
  2. Step 2: Convert to fraction form
    444,879.13/689,435.06 = 689,435.06/x
  3. Step 3: Cross multiply
    444,879.13x = 689,435.06 × 689,435.06
  4. Step 4: Simplify right side
    444,879.13x = 475,320,705,404.38
  5. Step 5: Solve for x
    x = 475,320,705,404.38/444,879.13
  6. Step 6: Final answer
    x = 1,068,426.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.