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Finding the Third Proportional to 82,068 and 178,344

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Solution

The third proportional to 82,068 and 178,344 is: 387,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,068 : 178,344 = 178,344 : x
  2. Step 2: Convert to fraction form
    82,068/178,344 = 178,344/x
  3. Step 3: Cross multiply
    82,068x = 178,344 × 178,344
  4. Step 4: Simplify right side
    82,068x = 31,806,582,336
  5. Step 5: Solve for x
    x = 31,806,582,336/82,068
  6. Step 6: Final answer
    x = 387,563.76

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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.