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Finding the Third Proportional to 5,460 and 8,181.38

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Solution

The third proportional to 5,460 and 8,181.38 is: 12,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460 : 8,181.38 = 8,181.38 : x
  2. Step 2: Convert to fraction form
    5,460/8,181.38 = 8,181.38/x
  3. Step 3: Cross multiply
    5,460x = 8,181.38 × 8,181.38
  4. Step 4: Simplify right side
    5,460x = 66,934,896.89
  5. Step 5: Solve for x
    x = 66,934,896.89/5,460
  6. Step 6: Final answer
    x = 12,259.14

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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.