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Finding the Third Proportional to 173,088 and 261,942

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Solution

The third proportional to 173,088 and 261,942 is: 396,408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,088 : 261,942 = 261,942 : x
  2. Step 2: Convert to fraction form
    173,088/261,942 = 261,942/x
  3. Step 3: Cross multiply
    173,088x = 261,942 × 261,942
  4. Step 4: Simplify right side
    173,088x = 68,613,611,364
  5. Step 5: Solve for x
    x = 68,613,611,364/173,088
  6. Step 6: Final answer
    x = 396,408.83

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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.