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Finding the Third Proportional to 5,200.88 and 5,607.56

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Solution

The third proportional to 5,200.88 and 5,607.56 is: 6,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.88 : 5,607.56 = 5,607.56 : x
  2. Step 2: Convert to fraction form
    5,200.88/5,607.56 = 5,607.56/x
  3. Step 3: Cross multiply
    5,200.88x = 5,607.56 × 5,607.56
  4. Step 4: Simplify right side
    5,200.88x = 31,444,757.19
  5. Step 5: Solve for x
    x = 31,444,757.19/5,200.88
  6. Step 6: Final answer
    x = 6,046.05

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.