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Finding the Third Proportional to 172,226 and 261,984

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Solution

The third proportional to 172,226 and 261,984 is: 398,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,226 : 261,984 = 261,984 : x
  2. Step 2: Convert to fraction form
    172,226/261,984 = 261,984/x
  3. Step 3: Cross multiply
    172,226x = 261,984 × 261,984
  4. Step 4: Simplify right side
    172,226x = 68,635,616,256
  5. Step 5: Solve for x
    x = 68,635,616,256/172,226
  6. Step 6: Final answer
    x = 398,520.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.