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Finding the Third Proportional to 81,718 and 176,338

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Solution

The third proportional to 81,718 and 176,338 is: 380,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,718 : 176,338 = 176,338 : x
  2. Step 2: Convert to fraction form
    81,718/176,338 = 176,338/x
  3. Step 3: Cross multiply
    81,718x = 176,338 × 176,338
  4. Step 4: Simplify right side
    81,718x = 31,095,090,244
  5. Step 5: Solve for x
    x = 31,095,090,244/81,718
  6. Step 6: Final answer
    x = 380,517.02

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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.