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Finding the Third Proportional to 6,445.50 and 14,880

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Solution

The third proportional to 6,445.50 and 14,880 is: 34,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.50 : 14,880 = 14,880 : x
  2. Step 2: Convert to fraction form
    6,445.50/14,880 = 14,880/x
  3. Step 3: Cross multiply
    6,445.50x = 14,880 × 14,880
  4. Step 4: Simplify right side
    6,445.50x = 221,414,400
  5. Step 5: Solve for x
    x = 221,414,400/6,445.50
  6. Step 6: Final answer
    x = 34,351.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.