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Finding the Third Proportional to 3,400.03 and 7,208.30

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Solution

The third proportional to 3,400.03 and 7,208.30 is: 15,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.03 : 7,208.30 = 7,208.30 : x
  2. Step 2: Convert to fraction form
    3,400.03/7,208.30 = 7,208.30/x
  3. Step 3: Cross multiply
    3,400.03x = 7,208.30 × 7,208.30
  4. Step 4: Simplify right side
    3,400.03x = 51,959,543.84
  5. Step 5: Solve for x
    x = 51,959,543.84/3,400.03
  6. Step 6: Final answer
    x = 15,282.08

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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.