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Finding the Third Proportional to 5,181.47 and 7,968.80

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Solution

The third proportional to 5,181.47 and 7,968.80 is: 12,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.47 : 7,968.80 = 7,968.80 : x
  2. Step 2: Convert to fraction form
    5,181.47/7,968.80 = 7,968.80/x
  3. Step 3: Cross multiply
    5,181.47x = 7,968.80 × 7,968.80
  4. Step 4: Simplify right side
    5,181.47x = 63,501,723.64
  5. Step 5: Solve for x
    x = 63,501,723.64/5,181.47
  6. Step 6: Final answer
    x = 12,255.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.