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Finding the Third Proportional to 3,155.25 and 3,857.25

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Solution

The third proportional to 3,155.25 and 3,857.25 is: 4,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.25 : 3,857.25 = 3,857.25 : x
  2. Step 2: Convert to fraction form
    3,155.25/3,857.25 = 3,857.25/x
  3. Step 3: Cross multiply
    3,155.25x = 3,857.25 × 3,857.25
  4. Step 4: Simplify right side
    3,155.25x = 14,878,377.56
  5. Step 5: Solve for x
    x = 14,878,377.56/3,155.25
  6. Step 6: Final answer
    x = 4,715.44

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.