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Finding the Third Proportional to 82,617 and 178,356

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Solution

The third proportional to 82,617 and 178,356 is: 385,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,617 : 178,356 = 178,356 : x
  2. Step 2: Convert to fraction form
    82,617/178,356 = 178,356/x
  3. Step 3: Cross multiply
    82,617x = 178,356 × 178,356
  4. Step 4: Simplify right side
    82,617x = 31,810,862,736
  5. Step 5: Solve for x
    x = 31,810,862,736/82,617
  6. Step 6: Final answer
    x = 385,040.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.