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Finding the Third Proportional to 85,072 and 179,872

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Solution

The third proportional to 85,072 and 179,872 is: 380,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,072 : 179,872 = 179,872 : x
  2. Step 2: Convert to fraction form
    85,072/179,872 = 179,872/x
  3. Step 3: Cross multiply
    85,072x = 179,872 × 179,872
  4. Step 4: Simplify right side
    85,072x = 32,353,936,384
  5. Step 5: Solve for x
    x = 32,353,936,384/85,072
  6. Step 6: Final answer
    x = 380,312.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.