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Finding the Third Proportional to 80,318 and 172,852

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Solution

The third proportional to 80,318 and 172,852 is: 371,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,318 : 172,852 = 172,852 : x
  2. Step 2: Convert to fraction form
    80,318/172,852 = 172,852/x
  3. Step 3: Cross multiply
    80,318x = 172,852 × 172,852
  4. Step 4: Simplify right side
    80,318x = 29,877,813,904
  5. Step 5: Solve for x
    x = 29,877,813,904/80,318
  6. Step 6: Final answer
    x = 371,994.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.