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Finding the Third Proportional to 80,364 and 172,392

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Solution

The third proportional to 80,364 and 172,392 is: 369,804.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,364 : 172,392 = 172,392 : x
  2. Step 2: Convert to fraction form
    80,364/172,392 = 172,392/x
  3. Step 3: Cross multiply
    80,364x = 172,392 × 172,392
  4. Step 4: Simplify right side
    80,364x = 29,719,001,664
  5. Step 5: Solve for x
    x = 29,719,001,664/80,364
  6. Step 6: Final answer
    x = 369,804.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.