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Finding the Third Proportional to 199,502 and 279,941

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Solution

The third proportional to 199,502 and 279,941 is: 392,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,502 : 279,941 = 279,941 : x
  2. Step 2: Convert to fraction form
    199,502/279,941 = 279,941/x
  3. Step 3: Cross multiply
    199,502x = 279,941 × 279,941
  4. Step 4: Simplify right side
    199,502x = 78,366,963,481
  5. Step 5: Solve for x
    x = 78,366,963,481/199,502
  6. Step 6: Final answer
    x = 392,812.92

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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.