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Finding the Third Proportional to 128,108 and 203,566

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Solution

The third proportional to 128,108 and 203,566 is: 323,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,108 : 203,566 = 203,566 : x
  2. Step 2: Convert to fraction form
    128,108/203,566 = 203,566/x
  3. Step 3: Cross multiply
    128,108x = 203,566 × 203,566
  4. Step 4: Simplify right side
    128,108x = 41,439,116,356
  5. Step 5: Solve for x
    x = 41,439,116,356/128,108
  6. Step 6: Final answer
    x = 323,470.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.