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Finding the Third Proportional to 3,620.53 and 7,989.47

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Solution

The third proportional to 3,620.53 and 7,989.47 is: 17,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.53 : 7,989.47 = 7,989.47 : x
  2. Step 2: Convert to fraction form
    3,620.53/7,989.47 = 7,989.47/x
  3. Step 3: Cross multiply
    3,620.53x = 7,989.47 × 7,989.47
  4. Step 4: Simplify right side
    3,620.53x = 63,831,610.91
  5. Step 5: Solve for x
    x = 63,831,610.91/3,620.53
  6. Step 6: Final answer
    x = 17,630.45

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.