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Finding the Third Proportional to 173,098 and 261,519

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Solution

The third proportional to 173,098 and 261,519 is: 395,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,098 : 261,519 = 261,519 : x
  2. Step 2: Convert to fraction form
    173,098/261,519 = 261,519/x
  3. Step 3: Cross multiply
    173,098x = 261,519 × 261,519
  4. Step 4: Simplify right side
    173,098x = 68,392,187,361
  5. Step 5: Solve for x
    x = 68,392,187,361/173,098
  6. Step 6: Final answer
    x = 395,106.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.