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Finding the Third Proportional to 81,787.22 and 176,463.56

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Solution

The third proportional to 81,787.22 and 176,463.56 is: 380,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,787.22 : 176,463.56 = 176,463.56 : x
  2. Step 2: Convert to fraction form
    81,787.22/176,463.56 = 176,463.56/x
  3. Step 3: Cross multiply
    81,787.22x = 176,463.56 × 176,463.56
  4. Step 4: Simplify right side
    81,787.22x = 31,139,388,890.19
  5. Step 5: Solve for x
    x = 31,139,388,890.19/81,787.22
  6. Step 6: Final answer
    x = 380,736.62

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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.