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Finding the Third Proportional to 10,126.27 and 23,555.81

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Solution

The third proportional to 10,126.27 and 23,555.81 is: 54,795.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.27 : 23,555.81 = 23,555.81 : x
  2. Step 2: Convert to fraction form
    10,126.27/23,555.81 = 23,555.81/x
  3. Step 3: Cross multiply
    10,126.27x = 23,555.81 × 23,555.81
  4. Step 4: Simplify right side
    10,126.27x = 554,876,302.54
  5. Step 5: Solve for x
    x = 554,876,302.54/10,126.27
  6. Step 6: Final answer
    x = 54,795.75

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.