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Finding the Third Proportional to 30,202.88 and 68,238.28

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Solution

The third proportional to 30,202.88 and 68,238.28 is: 154,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.88 : 68,238.28 = 68,238.28 : x
  2. Step 2: Convert to fraction form
    30,202.88/68,238.28 = 68,238.28/x
  3. Step 3: Cross multiply
    30,202.88x = 68,238.28 × 68,238.28
  4. Step 4: Simplify right side
    30,202.88x = 4,656,463,027.95
  5. Step 5: Solve for x
    x = 4,656,463,027.95/30,202.88
  6. Step 6: Final answer
    x = 154,172.84

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.