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Finding the Third Proportional to 172,818 and 261,641

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Solution

The third proportional to 172,818 and 261,641 is: 396,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,818 : 261,641 = 261,641 : x
  2. Step 2: Convert to fraction form
    172,818/261,641 = 261,641/x
  3. Step 3: Cross multiply
    172,818x = 261,641 × 261,641
  4. Step 4: Simplify right side
    172,818x = 68,456,012,881
  5. Step 5: Solve for x
    x = 68,456,012,881/172,818
  6. Step 6: Final answer
    x = 396,116.22

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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.