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Finding the Third Proportional to 80,808 and 172,848

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Solution

The third proportional to 80,808 and 172,848 is: 369,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,808 : 172,848 = 172,848 : x
  2. Step 2: Convert to fraction form
    80,808/172,848 = 172,848/x
  3. Step 3: Cross multiply
    80,808x = 172,848 × 172,848
  4. Step 4: Simplify right side
    80,808x = 29,876,431,104
  5. Step 5: Solve for x
    x = 29,876,431,104/80,808
  6. Step 6: Final answer
    x = 369,721.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.