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Finding the Third Proportional to 5,645 and 6,469

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Solution

The third proportional to 5,645 and 6,469 is: 7,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645 : 6,469 = 6,469 : x
  2. Step 2: Convert to fraction form
    5,645/6,469 = 6,469/x
  3. Step 3: Cross multiply
    5,645x = 6,469 × 6,469
  4. Step 4: Simplify right side
    5,645x = 41,847,961
  5. Step 5: Solve for x
    x = 41,847,961/5,645
  6. Step 6: Final answer
    x = 7,413.28

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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.