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Finding the Third Proportional to 3,126.66 and 6,731.72

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Solution

The third proportional to 3,126.66 and 6,731.72 is: 14,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.66 : 6,731.72 = 6,731.72 : x
  2. Step 2: Convert to fraction form
    3,126.66/6,731.72 = 6,731.72/x
  3. Step 3: Cross multiply
    3,126.66x = 6,731.72 × 6,731.72
  4. Step 4: Simplify right side
    3,126.66x = 45,316,037.33
  5. Step 5: Solve for x
    x = 45,316,037.33/3,126.66
  6. Step 6: Final answer
    x = 14,493.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.