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Finding the Third Proportional to 70,137.38 and 149,436.38

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Solution

The third proportional to 70,137.38 and 149,436.38 is: 318,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,137.38 : 149,436.38 = 149,436.38 : x
  2. Step 2: Convert to fraction form
    70,137.38/149,436.38 = 149,436.38/x
  3. Step 3: Cross multiply
    70,137.38x = 149,436.38 × 149,436.38
  4. Step 4: Simplify right side
    70,137.38x = 22,331,230,173.14
  5. Step 5: Solve for x
    x = 22,331,230,173.14/70,137.38
  6. Step 6: Final answer
    x = 318,392.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.