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Finding the Third Proportional to 93,561 and 204,051

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Solution

The third proportional to 93,561 and 204,051 is: 445,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,561 : 204,051 = 204,051 : x
  2. Step 2: Convert to fraction form
    93,561/204,051 = 204,051/x
  3. Step 3: Cross multiply
    93,561x = 204,051 × 204,051
  4. Step 4: Simplify right side
    93,561x = 41,636,810,601
  5. Step 5: Solve for x
    x = 41,636,810,601/93,561
  6. Step 6: Final answer
    x = 445,023.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.