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Finding the Third Proportional to 3,315.66 and 7,150.22

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Solution

The third proportional to 3,315.66 and 7,150.22 is: 15,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.66 : 7,150.22 = 7,150.22 : x
  2. Step 2: Convert to fraction form
    3,315.66/7,150.22 = 7,150.22/x
  3. Step 3: Cross multiply
    3,315.66x = 7,150.22 × 7,150.22
  4. Step 4: Simplify right side
    3,315.66x = 51,125,628.17
  5. Step 5: Solve for x
    x = 51,125,628.17/3,315.66
  6. Step 6: Final answer
    x = 15,419.46

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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.