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Finding the Third Proportional to 1,812.02 and 3,892.09

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Solution

The third proportional to 1,812.02 and 3,892.09 is: 8,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.02 : 3,892.09 = 3,892.09 : x
  2. Step 2: Convert to fraction form
    1,812.02/3,892.09 = 3,892.09/x
  3. Step 3: Cross multiply
    1,812.02x = 3,892.09 × 3,892.09
  4. Step 4: Simplify right side
    1,812.02x = 15,148,393.76
  5. Step 5: Solve for x
    x = 15,148,393.76/1,812.02
  6. Step 6: Final answer
    x = 8,359.97

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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.