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Finding the Third Proportional to 5,420 and 12,994

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Solution

The third proportional to 5,420 and 12,994 is: 31,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420 : 12,994 = 12,994 : x
  2. Step 2: Convert to fraction form
    5,420/12,994 = 12,994/x
  3. Step 3: Cross multiply
    5,420x = 12,994 × 12,994
  4. Step 4: Simplify right side
    5,420x = 168,844,036
  5. Step 5: Solve for x
    x = 168,844,036/5,420
  6. Step 6: Final answer
    x = 31,152.04

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.