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Finding the Third Proportional to 5,181.47 and 7,811.44

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Solution

The third proportional to 5,181.47 and 7,811.44 is: 11,776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.47 : 7,811.44 = 7,811.44 : x
  2. Step 2: Convert to fraction form
    5,181.47/7,811.44 = 7,811.44/x
  3. Step 3: Cross multiply
    5,181.47x = 7,811.44 × 7,811.44
  4. Step 4: Simplify right side
    5,181.47x = 61,018,555.82
  5. Step 5: Solve for x
    x = 61,018,555.82/5,181.47
  6. Step 6: Final answer
    x = 11,776.30

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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.