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Finding the Third Proportional to 5,131.13 and 10,724.63

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Solution

The third proportional to 5,131.13 and 10,724.63 is: 22,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.13 : 10,724.63 = 10,724.63 : x
  2. Step 2: Convert to fraction form
    5,131.13/10,724.63 = 10,724.63/x
  3. Step 3: Cross multiply
    5,131.13x = 10,724.63 × 10,724.63
  4. Step 4: Simplify right side
    5,131.13x = 115,017,581.39
  5. Step 5: Solve for x
    x = 115,017,581.39/5,131.13
  6. Step 6: Final answer
    x = 22,415.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.