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Finding the Third Proportional to 5,780 and 6,617

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Solution

The third proportional to 5,780 and 6,617 is: 7,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780 : 6,617 = 6,617 : x
  2. Step 2: Convert to fraction form
    5,780/6,617 = 6,617/x
  3. Step 3: Cross multiply
    5,780x = 6,617 × 6,617
  4. Step 4: Simplify right side
    5,780x = 43,784,689
  5. Step 5: Solve for x
    x = 43,784,689/5,780
  6. Step 6: Final answer
    x = 7,575.21

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.