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Finding the Third Proportional to 94,236 and 201,546

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Solution

The third proportional to 94,236 and 201,546 is: 431,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,236 : 201,546 = 201,546 : x
  2. Step 2: Convert to fraction form
    94,236/201,546 = 201,546/x
  3. Step 3: Cross multiply
    94,236x = 201,546 × 201,546
  4. Step 4: Simplify right side
    94,236x = 40,620,790,116
  5. Step 5: Solve for x
    x = 40,620,790,116/94,236
  6. Step 6: Final answer
    x = 431,053.84

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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.