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Finding the Third Proportional to 5,118.19 and 10,440.56

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Solution

The third proportional to 5,118.19 and 10,440.56 is: 21,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.19 : 10,440.56 = 10,440.56 : x
  2. Step 2: Convert to fraction form
    5,118.19/10,440.56 = 10,440.56/x
  3. Step 3: Cross multiply
    5,118.19x = 10,440.56 × 10,440.56
  4. Step 4: Simplify right side
    5,118.19x = 109,005,345.32
  5. Step 5: Solve for x
    x = 109,005,345.32/5,118.19
  6. Step 6: Final answer
    x = 21,297.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.