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Finding the Third Proportional to 420,229.13 and 628,858.69

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Solution

The third proportional to 420,229.13 and 628,858.69 is: 941,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,229.13 : 628,858.69 = 628,858.69 : x
  2. Step 2: Convert to fraction form
    420,229.13/628,858.69 = 628,858.69/x
  3. Step 3: Cross multiply
    420,229.13x = 628,858.69 × 628,858.69
  4. Step 4: Simplify right side
    420,229.13x = 395,463,248,844.22
  5. Step 5: Solve for x
    x = 395,463,248,844.22/420,229.13
  6. Step 6: Final answer
    x = 941,065.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.