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Finding the Third Proportional to 199,504 and 279,944

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Solution

The third proportional to 199,504 and 279,944 is: 392,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,504 : 279,944 = 279,944 : x
  2. Step 2: Convert to fraction form
    199,504/279,944 = 279,944/x
  3. Step 3: Cross multiply
    199,504x = 279,944 × 279,944
  4. Step 4: Simplify right side
    199,504x = 78,368,643,136
  5. Step 5: Solve for x
    x = 78,368,643,136/199,504
  6. Step 6: Final answer
    x = 392,817.40

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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.