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Finding the Third Proportional to 279,699.75 and 613,836.56

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Solution

The third proportional to 279,699.75 and 613,836.56 is: 1,347,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,699.75 : 613,836.56 = 613,836.56 : x
  2. Step 2: Convert to fraction form
    279,699.75/613,836.56 = 613,836.56/x
  3. Step 3: Cross multiply
    279,699.75x = 613,836.56 × 613,836.56
  4. Step 4: Simplify right side
    279,699.75x = 376,795,325,461.82
  5. Step 5: Solve for x
    x = 376,795,325,461.82/279,699.75
  6. Step 6: Final answer
    x = 1,347,142.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.