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Finding the Third Proportional to 80,392.50 and 171,855

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Solution

The third proportional to 80,392.50 and 171,855 is: 367,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,392.50 : 171,855 = 171,855 : x
  2. Step 2: Convert to fraction form
    80,392.50/171,855 = 171,855/x
  3. Step 3: Cross multiply
    80,392.50x = 171,855 × 171,855
  4. Step 4: Simplify right side
    80,392.50x = 29,534,141,025
  5. Step 5: Solve for x
    x = 29,534,141,025/80,392.50
  6. Step 6: Final answer
    x = 367,374.33

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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.