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Finding the Third Proportional to 6,238.69 and 13,689.84

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Solution

The third proportional to 6,238.69 and 13,689.84 is: 30,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.69 : 13,689.84 = 13,689.84 : x
  2. Step 2: Convert to fraction form
    6,238.69/13,689.84 = 13,689.84/x
  3. Step 3: Cross multiply
    6,238.69x = 13,689.84 × 13,689.84
  4. Step 4: Simplify right side
    6,238.69x = 187,411,821.90
  5. Step 5: Solve for x
    x = 187,411,821.90/6,238.69
  6. Step 6: Final answer
    x = 30,040.26

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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.