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Finding the Third Proportional to 93,982 and 203,546

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Solution

The third proportional to 93,982 and 203,546 is: 440,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,982 : 203,546 = 203,546 : x
  2. Step 2: Convert to fraction form
    93,982/203,546 = 203,546/x
  3. Step 3: Cross multiply
    93,982x = 203,546 × 203,546
  4. Step 4: Simplify right side
    93,982x = 41,430,974,116
  5. Step 5: Solve for x
    x = 41,430,974,116/93,982
  6. Step 6: Final answer
    x = 440,839.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.