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Finding the Third Proportional to 6,100.88 and 13,339.13

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Solution

The third proportional to 6,100.88 and 13,339.13 is: 29,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.88 : 13,339.13 = 13,339.13 : x
  2. Step 2: Convert to fraction form
    6,100.88/13,339.13 = 13,339.13/x
  3. Step 3: Cross multiply
    6,100.88x = 13,339.13 × 13,339.13
  4. Step 4: Simplify right side
    6,100.88x = 177,932,255.77
  5. Step 5: Solve for x
    x = 177,932,255.77/6,100.88
  6. Step 6: Final answer
    x = 29,165.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.