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Finding the Third Proportional to 3,400.25 and 7,208.25

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Solution

The third proportional to 3,400.25 and 7,208.25 is: 15,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.25 : 7,208.25 = 7,208.25 : x
  2. Step 2: Convert to fraction form
    3,400.25/7,208.25 = 7,208.25/x
  3. Step 3: Cross multiply
    3,400.25x = 7,208.25 × 7,208.25
  4. Step 4: Simplify right side
    3,400.25x = 51,958,868.06
  5. Step 5: Solve for x
    x = 51,958,868.06/3,400.25
  6. Step 6: Final answer
    x = 15,280.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.