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Finding the Third Proportional to 10,863 and 23,775.75

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Solution

The third proportional to 10,863 and 23,775.75 is: 52,037.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863 : 23,775.75 = 23,775.75 : x
  2. Step 2: Convert to fraction form
    10,863/23,775.75 = 23,775.75/x
  3. Step 3: Cross multiply
    10,863x = 23,775.75 × 23,775.75
  4. Step 4: Simplify right side
    10,863x = 565,286,288.06
  5. Step 5: Solve for x
    x = 565,286,288.06/10,863
  6. Step 6: Final answer
    x = 52,037.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.