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Finding the Third Proportional to 86,054 and 182,554

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Solution

The third proportional to 86,054 and 182,554 is: 387,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,054 : 182,554 = 182,554 : x
  2. Step 2: Convert to fraction form
    86,054/182,554 = 182,554/x
  3. Step 3: Cross multiply
    86,054x = 182,554 × 182,554
  4. Step 4: Simplify right side
    86,054x = 33,325,962,916
  5. Step 5: Solve for x
    x = 33,325,962,916/86,054
  6. Step 6: Final answer
    x = 387,268.03

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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.