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Finding the Third Proportional to 2,533.78 and 2,959.03

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Solution

The third proportional to 2,533.78 and 2,959.03 is: 3,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.78 : 2,959.03 = 2,959.03 : x
  2. Step 2: Convert to fraction form
    2,533.78/2,959.03 = 2,959.03/x
  3. Step 3: Cross multiply
    2,533.78x = 2,959.03 × 2,959.03
  4. Step 4: Simplify right side
    2,533.78x = 8,755,865.94
  5. Step 5: Solve for x
    x = 8,755,865.94/2,533.78
  6. Step 6: Final answer
    x = 3,455.65

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.