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Finding the Third Proportional to 286,699.50 and 400,997.25

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Solution

The third proportional to 286,699.50 and 400,997.25 is: 560,861.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,699.50 : 400,997.25 = 400,997.25 : x
  2. Step 2: Convert to fraction form
    286,699.50/400,997.25 = 400,997.25/x
  3. Step 3: Cross multiply
    286,699.50x = 400,997.25 × 400,997.25
  4. Step 4: Simplify right side
    286,699.50x = 160,798,794,507.56
  5. Step 5: Solve for x
    x = 160,798,794,507.56/286,699.50
  6. Step 6: Final answer
    x = 560,861.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.