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Finding the Third Proportional to 444,861.75 and 689,412.75

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Solution

The third proportional to 444,861.75 and 689,412.75 is: 1,068,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,861.75 : 689,412.75 = 689,412.75 : x
  2. Step 2: Convert to fraction form
    444,861.75/689,412.75 = 689,412.75/x
  3. Step 3: Cross multiply
    444,861.75x = 689,412.75 × 689,412.75
  4. Step 4: Simplify right side
    444,861.75x = 475,289,939,862.56
  5. Step 5: Solve for x
    x = 475,289,939,862.56/444,861.75
  6. Step 6: Final answer
    x = 1,068,399.20

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Why These Related Problems?

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