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Finding the Third Proportional to 5,205.52 and 8,127.21

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Solution

The third proportional to 5,205.52 and 8,127.21 is: 12,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.52 : 8,127.21 = 8,127.21 : x
  2. Step 2: Convert to fraction form
    5,205.52/8,127.21 = 8,127.21/x
  3. Step 3: Cross multiply
    5,205.52x = 8,127.21 × 8,127.21
  4. Step 4: Simplify right side
    5,205.52x = 66,051,557.62
  5. Step 5: Solve for x
    x = 66,051,557.62/5,205.52
  6. Step 6: Final answer
    x = 12,688.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.