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Finding the Third Proportional to 94,848 and 204,396

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Solution

The third proportional to 94,848 and 204,396 is: 440,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,848 : 204,396 = 204,396 : x
  2. Step 2: Convert to fraction form
    94,848/204,396 = 204,396/x
  3. Step 3: Cross multiply
    94,848x = 204,396 × 204,396
  4. Step 4: Simplify right side
    94,848x = 41,777,724,816
  5. Step 5: Solve for x
    x = 41,777,724,816/94,848
  6. Step 6: Final answer
    x = 440,470.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.