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Finding the Third Proportional to 93,663 and 203,952

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Solution

The third proportional to 93,663 and 203,952 is: 444,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,663 : 203,952 = 203,952 : x
  2. Step 2: Convert to fraction form
    93,663/203,952 = 203,952/x
  3. Step 3: Cross multiply
    93,663x = 203,952 × 203,952
  4. Step 4: Simplify right side
    93,663x = 41,596,418,304
  5. Step 5: Solve for x
    x = 41,596,418,304/93,663
  6. Step 6: Final answer
    x = 444,107.26

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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.