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Finding the Third Proportional to 2,555.30 and 5,129.58

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Solution

The third proportional to 2,555.30 and 5,129.58 is: 10,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.30 : 5,129.58 = 5,129.58 : x
  2. Step 2: Convert to fraction form
    2,555.30/5,129.58 = 5,129.58/x
  3. Step 3: Cross multiply
    2,555.30x = 5,129.58 × 5,129.58
  4. Step 4: Simplify right side
    2,555.30x = 26,312,571.74
  5. Step 5: Solve for x
    x = 26,312,571.74/2,555.30
  6. Step 6: Final answer
    x = 10,297.27

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.