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Finding the Third Proportional to 5,200.88 and 7,867.88

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Solution

The third proportional to 5,200.88 and 7,867.88 is: 11,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.88 : 7,867.88 = 7,867.88 : x
  2. Step 2: Convert to fraction form
    5,200.88/7,867.88 = 7,867.88/x
  3. Step 3: Cross multiply
    5,200.88x = 7,867.88 × 7,867.88
  4. Step 4: Simplify right side
    5,200.88x = 61,903,457.02
  5. Step 5: Solve for x
    x = 61,903,457.02/5,200.88
  6. Step 6: Final answer
    x = 11,902.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.