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Finding the Third Proportional to 3,154.88 and 6,511.88

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Solution

The third proportional to 3,154.88 and 6,511.88 is: 13,440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.88 : 6,511.88 = 6,511.88 : x
  2. Step 2: Convert to fraction form
    3,154.88/6,511.88 = 6,511.88/x
  3. Step 3: Cross multiply
    3,154.88x = 6,511.88 × 6,511.88
  4. Step 4: Simplify right side
    3,154.88x = 42,404,516.02
  5. Step 5: Solve for x
    x = 42,404,516.02/3,154.88
  6. Step 6: Final answer
    x = 13,440.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.