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Finding the Third Proportional to 80,798 and 171,964

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Solution

The third proportional to 80,798 and 171,964 is: 365,994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,798 : 171,964 = 171,964 : x
  2. Step 2: Convert to fraction form
    80,798/171,964 = 171,964/x
  3. Step 3: Cross multiply
    80,798x = 171,964 × 171,964
  4. Step 4: Simplify right side
    80,798x = 29,571,617,296
  5. Step 5: Solve for x
    x = 29,571,617,296/80,798
  6. Step 6: Final answer
    x = 365,994.42

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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.