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Finding the Third Proportional to 2,533.78 and 5,125.78

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Solution

The third proportional to 2,533.78 and 5,125.78 is: 10,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.78 : 5,125.78 = 5,125.78 : x
  2. Step 2: Convert to fraction form
    2,533.78/5,125.78 = 5,125.78/x
  3. Step 3: Cross multiply
    2,533.78x = 5,125.78 × 5,125.78
  4. Step 4: Simplify right side
    2,533.78x = 26,273,633.42
  5. Step 5: Solve for x
    x = 26,273,633.42/2,533.78
  6. Step 6: Final answer
    x = 10,369.34

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.