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Finding the Third Proportional to 3,859.31 and 5,315.63

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Solution

The third proportional to 3,859.31 and 5,315.63 is: 7,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.31 : 5,315.63 = 5,315.63 : x
  2. Step 2: Convert to fraction form
    3,859.31/5,315.63 = 5,315.63/x
  3. Step 3: Cross multiply
    3,859.31x = 5,315.63 × 5,315.63
  4. Step 4: Simplify right side
    3,859.31x = 28,255,869.14
  5. Step 5: Solve for x
    x = 28,255,869.14/3,859.31
  6. Step 6: Final answer
    x = 7,321.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.