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Finding the Third Proportional to 86,326 and 178,646

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Solution

The third proportional to 86,326 and 178,646 is: 369,696.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,326 : 178,646 = 178,646 : x
  2. Step 2: Convert to fraction form
    86,326/178,646 = 178,646/x
  3. Step 3: Cross multiply
    86,326x = 178,646 × 178,646
  4. Step 4: Simplify right side
    86,326x = 31,914,393,316
  5. Step 5: Solve for x
    x = 31,914,393,316/86,326
  6. Step 6: Final answer
    x = 369,696.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.