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Finding the Third Proportional to 4,976.75 and 10,731.87

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Solution

The third proportional to 4,976.75 and 10,731.87 is: 23,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.75 : 10,731.87 = 10,731.87 : x
  2. Step 2: Convert to fraction form
    4,976.75/10,731.87 = 10,731.87/x
  3. Step 3: Cross multiply
    4,976.75x = 10,731.87 × 10,731.87
  4. Step 4: Simplify right side
    4,976.75x = 115,172,973.33
  5. Step 5: Solve for x
    x = 115,172,973.33/4,976.75
  6. Step 6: Final answer
    x = 23,142.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.