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Finding the Third Proportional to 856.05 and 1,842.12

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Solution

The third proportional to 856.05 and 1,842.12 is: 3,963.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.05 : 1,842.12 = 1,842.12 : x
  2. Step 2: Convert to fraction form
    856.05/1,842.12 = 1,842.12/x
  3. Step 3: Cross multiply
    856.05x = 1,842.12 × 1,842.12
  4. Step 4: Simplify right side
    856.05x = 3,393,395.73
  5. Step 5: Solve for x
    x = 3,393,395.73/856.05
  6. Step 6: Final answer
    x = 3,963.99

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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.