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Finding the Third Proportional to 80,480 and 171,355

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Solution

The third proportional to 80,480 and 171,355 is: 364,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,480 : 171,355 = 171,355 : x
  2. Step 2: Convert to fraction form
    80,480/171,355 = 171,355/x
  3. Step 3: Cross multiply
    80,480x = 171,355 × 171,355
  4. Step 4: Simplify right side
    80,480x = 29,362,536,025
  5. Step 5: Solve for x
    x = 29,362,536,025/80,480
  6. Step 6: Final answer
    x = 364,842.64

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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.