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Finding the Third Proportional to 70,396.88 and 143,238.38

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Solution

The third proportional to 70,396.88 and 143,238.38 is: 291,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,396.88 : 143,238.38 = 143,238.38 : x
  2. Step 2: Convert to fraction form
    70,396.88/143,238.38 = 143,238.38/x
  3. Step 3: Cross multiply
    70,396.88x = 143,238.38 × 143,238.38
  4. Step 4: Simplify right side
    70,396.88x = 20,517,232,072.64
  5. Step 5: Solve for x
    x = 20,517,232,072.64/70,396.88
  6. Step 6: Final answer
    x = 291,450.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.