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Finding the Third Proportional to 81,996.75 and 178,209

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Solution

The third proportional to 81,996.75 and 178,209 is: 387,313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,996.75 : 178,209 = 178,209 : x
  2. Step 2: Convert to fraction form
    81,996.75/178,209 = 178,209/x
  3. Step 3: Cross multiply
    81,996.75x = 178,209 × 178,209
  4. Step 4: Simplify right side
    81,996.75x = 31,758,447,681
  5. Step 5: Solve for x
    x = 31,758,447,681/81,996.75
  6. Step 6: Final answer
    x = 387,313.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.