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Finding the Third Proportional to 85,176 and 181,278

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Solution

The third proportional to 85,176 and 181,278 is: 385,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,176 : 181,278 = 181,278 : x
  2. Step 2: Convert to fraction form
    85,176/181,278 = 181,278/x
  3. Step 3: Cross multiply
    85,176x = 181,278 × 181,278
  4. Step 4: Simplify right side
    85,176x = 32,861,713,284
  5. Step 5: Solve for x
    x = 32,861,713,284/85,176
  6. Step 6: Final answer
    x = 385,809.54

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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.