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Finding the Third Proportional to 5,420 and 5,912

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Solution

The third proportional to 5,420 and 5,912 is: 6,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420 : 5,912 = 5,912 : x
  2. Step 2: Convert to fraction form
    5,420/5,912 = 5,912/x
  3. Step 3: Cross multiply
    5,420x = 5,912 × 5,912
  4. Step 4: Simplify right side
    5,420x = 34,951,744
  5. Step 5: Solve for x
    x = 34,951,744/5,420
  6. Step 6: Final answer
    x = 6,448.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.