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Finding the Third Proportional to 3,153.30 and 6,921.70

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Solution

The third proportional to 3,153.30 and 6,921.70 is: 15,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.30 : 6,921.70 = 6,921.70 : x
  2. Step 2: Convert to fraction form
    3,153.30/6,921.70 = 6,921.70/x
  3. Step 3: Cross multiply
    3,153.30x = 6,921.70 × 6,921.70
  4. Step 4: Simplify right side
    3,153.30x = 47,909,974.15
  5. Step 5: Solve for x
    x = 47,909,974.15/3,153.30
  6. Step 6: Final answer
    x = 15,193.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.