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Finding the Third Proportional to 3,318.47 and 7,829.16

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Solution

The third proportional to 3,318.47 and 7,829.16 is: 18,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.47 : 7,829.16 = 7,829.16 : x
  2. Step 2: Convert to fraction form
    3,318.47/7,829.16 = 7,829.16/x
  3. Step 3: Cross multiply
    3,318.47x = 7,829.16 × 7,829.16
  4. Step 4: Simplify right side
    3,318.47x = 61,295,687.59
  5. Step 5: Solve for x
    x = 61,295,687.59/3,318.47
  6. Step 6: Final answer
    x = 18,471.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.