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Finding the Third Proportional to 5,628.87 and 12,129.12

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Solution

The third proportional to 5,628.87 and 12,129.12 is: 26,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.87 : 12,129.12 = 12,129.12 : x
  2. Step 2: Convert to fraction form
    5,628.87/12,129.12 = 12,129.12/x
  3. Step 3: Cross multiply
    5,628.87x = 12,129.12 × 12,129.12
  4. Step 4: Simplify right side
    5,628.87x = 147,115,483.75
  5. Step 5: Solve for x
    x = 147,115,483.75/5,628.87
  6. Step 6: Final answer
    x = 26,135.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.