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Finding the Third Proportional to 23,986.13 and 51,126.19

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Solution

The third proportional to 23,986.13 and 51,126.19 is: 108,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,986.13 : 51,126.19 = 51,126.19 : x
  2. Step 2: Convert to fraction form
    23,986.13/51,126.19 = 51,126.19/x
  3. Step 3: Cross multiply
    23,986.13x = 51,126.19 × 51,126.19
  4. Step 4: Simplify right side
    23,986.13x = 2,613,887,048.29
  5. Step 5: Solve for x
    x = 2,613,887,048.29/23,986.13
  6. Step 6: Final answer
    x = 108,974.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.