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Finding the Third Proportional to 4,977.75 and 10,818.75

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Solution

The third proportional to 4,977.75 and 10,818.75 is: 23,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.75 : 10,818.75 = 10,818.75 : x
  2. Step 2: Convert to fraction form
    4,977.75/10,818.75 = 10,818.75/x
  3. Step 3: Cross multiply
    4,977.75x = 10,818.75 × 10,818.75
  4. Step 4: Simplify right side
    4,977.75x = 117,045,351.56
  5. Step 5: Solve for x
    x = 117,045,351.56/4,977.75
  6. Step 6: Final answer
    x = 23,513.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.