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Finding the Third Proportional to 4,680.26 and 10,218.14

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Solution

The third proportional to 4,680.26 and 10,218.14 is: 22,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.26 : 10,218.14 = 10,218.14 : x
  2. Step 2: Convert to fraction form
    4,680.26/10,218.14 = 10,218.14/x
  3. Step 3: Cross multiply
    4,680.26x = 10,218.14 × 10,218.14
  4. Step 4: Simplify right side
    4,680.26x = 104,410,397.83
  5. Step 5: Solve for x
    x = 104,410,397.83/4,680.26
  6. Step 6: Final answer
    x = 22,308.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.