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Finding the Third Proportional to 93,212 and 199,546

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Solution

The third proportional to 93,212 and 199,546 is: 427,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,212 : 199,546 = 199,546 : x
  2. Step 2: Convert to fraction form
    93,212/199,546 = 199,546/x
  3. Step 3: Cross multiply
    93,212x = 199,546 × 199,546
  4. Step 4: Simplify right side
    93,212x = 39,818,606,116
  5. Step 5: Solve for x
    x = 39,818,606,116/93,212
  6. Step 6: Final answer
    x = 427,183.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.