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Finding the Third Proportional to 3,857.15 and 5,420.51

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Solution

The third proportional to 3,857.15 and 5,420.51 is: 7,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.15 : 5,420.51 = 5,420.51 : x
  2. Step 2: Convert to fraction form
    3,857.15/5,420.51 = 5,420.51/x
  3. Step 3: Cross multiply
    3,857.15x = 5,420.51 × 5,420.51
  4. Step 4: Simplify right side
    3,857.15x = 29,381,968.47
  5. Step 5: Solve for x
    x = 29,381,968.47/3,857.15
  6. Step 6: Final answer
    x = 7,617.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.