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Finding the Third Proportional to 128,141 and 203,656

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Solution

The third proportional to 128,141 and 203,656 is: 323,672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,141 : 203,656 = 203,656 : x
  2. Step 2: Convert to fraction form
    128,141/203,656 = 203,656/x
  3. Step 3: Cross multiply
    128,141x = 203,656 × 203,656
  4. Step 4: Simplify right side
    128,141x = 41,475,766,336
  5. Step 5: Solve for x
    x = 41,475,766,336/128,141
  6. Step 6: Final answer
    x = 323,672.88

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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.