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Finding the Third Proportional to 5,200.88 and 7,781.06

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Solution

The third proportional to 5,200.88 and 7,781.06 is: 11,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.88 : 7,781.06 = 7,781.06 : x
  2. Step 2: Convert to fraction form
    5,200.88/7,781.06 = 7,781.06/x
  3. Step 3: Cross multiply
    5,200.88x = 7,781.06 × 7,781.06
  4. Step 4: Simplify right side
    5,200.88x = 60,544,933.63
  5. Step 5: Solve for x
    x = 60,544,933.63/5,200.88
  6. Step 6: Final answer
    x = 11,641.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.