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Finding the Third Proportional to 90,261 and 180,873

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Solution

The third proportional to 90,261 and 180,873 is: 362,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,261 : 180,873 = 180,873 : x
  2. Step 2: Convert to fraction form
    90,261/180,873 = 180,873/x
  3. Step 3: Cross multiply
    90,261x = 180,873 × 180,873
  4. Step 4: Simplify right side
    90,261x = 32,715,042,129
  5. Step 5: Solve for x
    x = 32,715,042,129/90,261
  6. Step 6: Final answer
    x = 362,449.36

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.