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Finding the Third Proportional to 81,240 and 178,174

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Solution

The third proportional to 81,240 and 178,174 is: 390,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,240 : 178,174 = 178,174 : x
  2. Step 2: Convert to fraction form
    81,240/178,174 = 178,174/x
  3. Step 3: Cross multiply
    81,240x = 178,174 × 178,174
  4. Step 4: Simplify right side
    81,240x = 31,745,974,276
  5. Step 5: Solve for x
    x = 31,745,974,276/81,240
  6. Step 6: Final answer
    x = 390,767.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.