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Finding the Third Proportional to 4,810.92 and 10,338.19

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Solution

The third proportional to 4,810.92 and 10,338.19 is: 22,215.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.92 : 10,338.19 = 10,338.19 : x
  2. Step 2: Convert to fraction form
    4,810.92/10,338.19 = 10,338.19/x
  3. Step 3: Cross multiply
    4,810.92x = 10,338.19 × 10,338.19
  4. Step 4: Simplify right side
    4,810.92x = 106,878,120.79
  5. Step 5: Solve for x
    x = 106,878,120.79/4,810.92
  6. Step 6: Final answer
    x = 22,215.73

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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.