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Finding the Third Proportional to 81,653 and 178,282

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Solution

The third proportional to 81,653 and 178,282 is: 389,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,653 : 178,282 = 178,282 : x
  2. Step 2: Convert to fraction form
    81,653/178,282 = 178,282/x
  3. Step 3: Cross multiply
    81,653x = 178,282 × 178,282
  4. Step 4: Simplify right side
    81,653x = 31,784,471,524
  5. Step 5: Solve for x
    x = 31,784,471,524/81,653
  6. Step 6: Final answer
    x = 389,262.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.