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Finding the Third Proportional to 7,138.13 and 10,828.69

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Solution

The third proportional to 7,138.13 and 10,828.69 is: 16,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.13 : 10,828.69 = 10,828.69 : x
  2. Step 2: Convert to fraction form
    7,138.13/10,828.69 = 10,828.69/x
  3. Step 3: Cross multiply
    7,138.13x = 10,828.69 × 10,828.69
  4. Step 4: Simplify right side
    7,138.13x = 117,260,472.97
  5. Step 5: Solve for x
    x = 117,260,472.97/7,138.13
  6. Step 6: Final answer
    x = 16,427.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.