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Finding the Third Proportional to 3,181.78 and 5,030.86

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Solution

The third proportional to 3,181.78 and 5,030.86 is: 7,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.78 : 5,030.86 = 5,030.86 : x
  2. Step 2: Convert to fraction form
    3,181.78/5,030.86 = 5,030.86/x
  3. Step 3: Cross multiply
    3,181.78x = 5,030.86 × 5,030.86
  4. Step 4: Simplify right side
    3,181.78x = 25,309,546.05
  5. Step 5: Solve for x
    x = 25,309,546.05/3,181.78
  6. Step 6: Final answer
    x = 7,954.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.