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Finding the Third Proportional to 70,039 and 149,919.50

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Solution

The third proportional to 70,039 and 149,919.50 is: 320,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,039 : 149,919.50 = 149,919.50 : x
  2. Step 2: Convert to fraction form
    70,039/149,919.50 = 149,919.50/x
  3. Step 3: Cross multiply
    70,039x = 149,919.50 × 149,919.50
  4. Step 4: Simplify right side
    70,039x = 22,475,856,480.25
  5. Step 5: Solve for x
    x = 22,475,856,480.25/70,039
  6. Step 6: Final answer
    x = 320,904.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.