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Finding the Third Proportional to 92,938 and 204,426

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Solution

The third proportional to 92,938 and 204,426 is: 449,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,938 : 204,426 = 204,426 : x
  2. Step 2: Convert to fraction form
    92,938/204,426 = 204,426/x
  3. Step 3: Cross multiply
    92,938x = 204,426 × 204,426
  4. Step 4: Simplify right side
    92,938x = 41,789,989,476
  5. Step 5: Solve for x
    x = 41,789,989,476/92,938
  6. Step 6: Final answer
    x = 449,654.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.