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Finding the Third Proportional to 279,493 and 435,844

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Solution

The third proportional to 279,493 and 435,844 is: 679,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,493 : 435,844 = 435,844 : x
  2. Step 2: Convert to fraction form
    279,493/435,844 = 435,844/x
  3. Step 3: Cross multiply
    279,493x = 435,844 × 435,844
  4. Step 4: Simplify right side
    279,493x = 189,959,992,336
  5. Step 5: Solve for x
    x = 189,959,992,336/279,493
  6. Step 6: Final answer
    x = 679,659.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.