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Finding the Third Proportional to 81,762 and 176,427

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Solution

The third proportional to 81,762 and 176,427 is: 380,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,762 : 176,427 = 176,427 : x
  2. Step 2: Convert to fraction form
    81,762/176,427 = 176,427/x
  3. Step 3: Cross multiply
    81,762x = 176,427 × 176,427
  4. Step 4: Simplify right side
    81,762x = 31,126,486,329
  5. Step 5: Solve for x
    x = 31,126,486,329/81,762
  6. Step 6: Final answer
    x = 380,696.24

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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.