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Finding the Third Proportional to 5,145.19 and 10,680.19

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Solution

The third proportional to 5,145.19 and 10,680.19 is: 22,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.19 : 10,680.19 = 10,680.19 : x
  2. Step 2: Convert to fraction form
    5,145.19/10,680.19 = 10,680.19/x
  3. Step 3: Cross multiply
    5,145.19x = 10,680.19 × 10,680.19
  4. Step 4: Simplify right side
    5,145.19x = 114,066,405.04
  5. Step 5: Solve for x
    x = 114,066,405.04/5,145.19
  6. Step 6: Final answer
    x = 22,169.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.