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Finding the Third Proportional to 172,816 and 261,638

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Solution

The third proportional to 172,816 and 261,638 is: 396,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,816 : 261,638 = 261,638 : x
  2. Step 2: Convert to fraction form
    172,816/261,638 = 261,638/x
  3. Step 3: Cross multiply
    172,816x = 261,638 × 261,638
  4. Step 4: Simplify right side
    172,816x = 68,454,443,044
  5. Step 5: Solve for x
    x = 68,454,443,044/172,816
  6. Step 6: Final answer
    x = 396,111.72

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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.