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Finding the Third Proportional to 5,781 and 6,645

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Solution

The third proportional to 5,781 and 6,645 is: 7,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781 : 6,645 = 6,645 : x
  2. Step 2: Convert to fraction form
    5,781/6,645 = 6,645/x
  3. Step 3: Cross multiply
    5,781x = 6,645 × 6,645
  4. Step 4: Simplify right side
    5,781x = 44,156,025
  5. Step 5: Solve for x
    x = 44,156,025/5,781
  6. Step 6: Final answer
    x = 7,638.13

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.