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Finding the Third Proportional to 86,325 and 178,644

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Solution

The third proportional to 86,325 and 178,644 is: 369,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,325 : 178,644 = 178,644 : x
  2. Step 2: Convert to fraction form
    86,325/178,644 = 178,644/x
  3. Step 3: Cross multiply
    86,325x = 178,644 × 178,644
  4. Step 4: Simplify right side
    86,325x = 31,913,678,736
  5. Step 5: Solve for x
    x = 31,913,678,736/86,325
  6. Step 6: Final answer
    x = 369,692.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.