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Finding the Third Proportional to 71,403.75 and 156,822.75

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Solution

The third proportional to 71,403.75 and 156,822.75 is: 344,426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,403.75 : 156,822.75 = 156,822.75 : x
  2. Step 2: Convert to fraction form
    71,403.75/156,822.75 = 156,822.75/x
  3. Step 3: Cross multiply
    71,403.75x = 156,822.75 × 156,822.75
  4. Step 4: Simplify right side
    71,403.75x = 24,593,374,917.56
  5. Step 5: Solve for x
    x = 24,593,374,917.56/71,403.75
  6. Step 6: Final answer
    x = 344,426.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.