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Finding the Third Proportional to 86,178 and 182,790

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Solution

The third proportional to 86,178 and 182,790 is: 387,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,178 : 182,790 = 182,790 : x
  2. Step 2: Convert to fraction form
    86,178/182,790 = 182,790/x
  3. Step 3: Cross multiply
    86,178x = 182,790 × 182,790
  4. Step 4: Simplify right side
    86,178x = 33,412,184,100
  5. Step 5: Solve for x
    x = 33,412,184,100/86,178
  6. Step 6: Final answer
    x = 387,711.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.