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Finding the Third Proportional to 3,147.19 and 3,420.56

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Solution

The third proportional to 3,147.19 and 3,420.56 is: 3,717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.19 : 3,420.56 = 3,420.56 : x
  2. Step 2: Convert to fraction form
    3,147.19/3,420.56 = 3,420.56/x
  3. Step 3: Cross multiply
    3,147.19x = 3,420.56 × 3,420.56
  4. Step 4: Simplify right side
    3,147.19x = 11,700,247.82
  5. Step 5: Solve for x
    x = 11,700,247.82/3,147.19
  6. Step 6: Final answer
    x = 3,717.68

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.