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Finding the Third Proportional to 81,864 and 171,984

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Solution

The third proportional to 81,864 and 171,984 is: 361,312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,864 : 171,984 = 171,984 : x
  2. Step 2: Convert to fraction form
    81,864/171,984 = 171,984/x
  3. Step 3: Cross multiply
    81,864x = 171,984 × 171,984
  4. Step 4: Simplify right side
    81,864x = 29,578,496,256
  5. Step 5: Solve for x
    x = 29,578,496,256/81,864
  6. Step 6: Final answer
    x = 361,312.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.