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Finding the Third Proportional to 3,181.78 and 3,817.76

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Solution

The third proportional to 3,181.78 and 3,817.76 is: 4,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.78 : 3,817.76 = 3,817.76 : x
  2. Step 2: Convert to fraction form
    3,181.78/3,817.76 = 3,817.76/x
  3. Step 3: Cross multiply
    3,181.78x = 3,817.76 × 3,817.76
  4. Step 4: Simplify right side
    3,181.78x = 14,575,274.71
  5. Step 5: Solve for x
    x = 14,575,274.71/3,181.78
  6. Step 6: Final answer
    x = 4,580.85

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.