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Finding the Third Proportional to 4,872.66 and 10,564.80

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Solution

The third proportional to 4,872.66 and 10,564.80 is: 22,906.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.66 : 10,564.80 = 10,564.80 : x
  2. Step 2: Convert to fraction form
    4,872.66/10,564.80 = 10,564.80/x
  3. Step 3: Cross multiply
    4,872.66x = 10,564.80 × 10,564.80
  4. Step 4: Simplify right side
    4,872.66x = 111,615,098.09
  5. Step 5: Solve for x
    x = 111,615,098.09/4,872.66
  6. Step 6: Final answer
    x = 22,906.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.