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Finding the Third Proportional to 80,403.57 and 171,494.40

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Solution

The third proportional to 80,403.57 and 171,494.40 is: 365,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,403.57 : 171,494.40 = 171,494.40 : x
  2. Step 2: Convert to fraction form
    80,403.57/171,494.40 = 171,494.40/x
  3. Step 3: Cross multiply
    80,403.57x = 171,494.40 × 171,494.40
  4. Step 4: Simplify right side
    80,403.57x = 29,410,330,035.24
  5. Step 5: Solve for x
    x = 29,410,330,035.24/80,403.57
  6. Step 6: Final answer
    x = 365,783.86

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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.