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Finding the Third Proportional to 10,115.09 and 15,313.22

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Solution

The third proportional to 10,115.09 and 15,313.22 is: 23,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.09 : 15,313.22 = 15,313.22 : x
  2. Step 2: Convert to fraction form
    10,115.09/15,313.22 = 15,313.22/x
  3. Step 3: Cross multiply
    10,115.09x = 15,313.22 × 15,313.22
  4. Step 4: Simplify right side
    10,115.09x = 234,494,668.49
  5. Step 5: Solve for x
    x = 234,494,668.49/10,115.09
  6. Step 6: Final answer
    x = 23,182.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.