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Finding the Third Proportional to 1,999.13 and 4,842.56

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Solution

The third proportional to 1,999.13 and 4,842.56 is: 11,730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.13 : 4,842.56 = 4,842.56 : x
  2. Step 2: Convert to fraction form
    1,999.13/4,842.56 = 4,842.56/x
  3. Step 3: Cross multiply
    1,999.13x = 4,842.56 × 4,842.56
  4. Step 4: Simplify right side
    1,999.13x = 23,450,411.57
  5. Step 5: Solve for x
    x = 23,450,411.57/1,999.13
  6. Step 6: Final answer
    x = 11,730.34

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.