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Finding the Third Proportional to 192,414.66 and 412,848.56

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Solution

The third proportional to 192,414.66 and 412,848.56 is: 885,815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,414.66 : 412,848.56 = 412,848.56 : x
  2. Step 2: Convert to fraction form
    192,414.66/412,848.56 = 412,848.56/x
  3. Step 3: Cross multiply
    192,414.66x = 412,848.56 × 412,848.56
  4. Step 4: Simplify right side
    192,414.66x = 170,443,935,558.32
  5. Step 5: Solve for x
    x = 170,443,935,558.32/192,414.66
  6. Step 6: Final answer
    x = 885,815.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.