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Finding the Third Proportional to 3,645.75 and 7,874.25

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Solution

The third proportional to 3,645.75 and 7,874.25 is: 17,007.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.75 : 7,874.25 = 7,874.25 : x
  2. Step 2: Convert to fraction form
    3,645.75/7,874.25 = 7,874.25/x
  3. Step 3: Cross multiply
    3,645.75x = 7,874.25 × 7,874.25
  4. Step 4: Simplify right side
    3,645.75x = 62,003,813.06
  5. Step 5: Solve for x
    x = 62,003,813.06/3,645.75
  6. Step 6: Final answer
    x = 17,007.15

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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.