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Finding the Third Proportional to 94,976 and 203,128

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Solution

The third proportional to 94,976 and 203,128 is: 434,435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,976 : 203,128 = 203,128 : x
  2. Step 2: Convert to fraction form
    94,976/203,128 = 203,128/x
  3. Step 3: Cross multiply
    94,976x = 203,128 × 203,128
  4. Step 4: Simplify right side
    94,976x = 41,260,984,384
  5. Step 5: Solve for x
    x = 41,260,984,384/94,976
  6. Step 6: Final answer
    x = 434,435.90

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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.