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Finding the Third Proportional to 72,138.96 and 159,847.49

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Solution

The third proportional to 72,138.96 and 159,847.49 is: 354,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,138.96 : 159,847.49 = 159,847.49 : x
  2. Step 2: Convert to fraction form
    72,138.96/159,847.49 = 159,847.49/x
  3. Step 3: Cross multiply
    72,138.96x = 159,847.49 × 159,847.49
  4. Step 4: Simplify right side
    72,138.96x = 25,551,219,509.82
  5. Step 5: Solve for x
    x = 25,551,219,509.82/72,138.96
  6. Step 6: Final answer
    x = 354,194.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.