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Finding the Third Proportional to 3,122.63 and 6,754.88

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Solution

The third proportional to 3,122.63 and 6,754.88 is: 14,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.63 : 6,754.88 = 6,754.88 : x
  2. Step 2: Convert to fraction form
    3,122.63/6,754.88 = 6,754.88/x
  3. Step 3: Cross multiply
    3,122.63x = 6,754.88 × 6,754.88
  4. Step 4: Simplify right side
    3,122.63x = 45,628,336.27
  5. Step 5: Solve for x
    x = 45,628,336.27/3,122.63
  6. Step 6: Final answer
    x = 14,612.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.