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Finding the Third Proportional to 80,369.09 and 171,809.86

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Solution

The third proportional to 80,369.09 and 171,809.86 is: 367,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,369.09 : 171,809.86 = 171,809.86 : x
  2. Step 2: Convert to fraction form
    80,369.09/171,809.86 = 171,809.86/x
  3. Step 3: Cross multiply
    80,369.09x = 171,809.86 × 171,809.86
  4. Step 4: Simplify right side
    80,369.09x = 29,518,627,778.46
  5. Step 5: Solve for x
    x = 29,518,627,778.46/80,369.09
  6. Step 6: Final answer
    x = 367,288.34

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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.