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Finding the Third Proportional to 5,346.75 and 12,880.88

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Solution

The third proportional to 5,346.75 and 12,880.88 is: 31,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.75 : 12,880.88 = 12,880.88 : x
  2. Step 2: Convert to fraction form
    5,346.75/12,880.88 = 12,880.88/x
  3. Step 3: Cross multiply
    5,346.75x = 12,880.88 × 12,880.88
  4. Step 4: Simplify right side
    5,346.75x = 165,916,940.77
  5. Step 5: Solve for x
    x = 165,916,940.77/5,346.75
  6. Step 6: Final answer
    x = 31,031.36

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.