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Finding the Third Proportional to 70,348.50 and 149,923.41

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Solution

The third proportional to 70,348.50 and 149,923.41 is: 319,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,348.50 : 149,923.41 = 149,923.41 : x
  2. Step 2: Convert to fraction form
    70,348.50/149,923.41 = 149,923.41/x
  3. Step 3: Cross multiply
    70,348.50x = 149,923.41 × 149,923.41
  4. Step 4: Simplify right side
    70,348.50x = 22,477,027,741.60
  5. Step 5: Solve for x
    x = 22,477,027,741.60/70,348.50
  6. Step 6: Final answer
    x = 319,509.69

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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.