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Finding the Third Proportional to 128,124 and 203,588

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Solution

The third proportional to 128,124 and 203,588 is: 323,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,124 : 203,588 = 203,588 : x
  2. Step 2: Convert to fraction form
    128,124/203,588 = 203,588/x
  3. Step 3: Cross multiply
    128,124x = 203,588 × 203,588
  4. Step 4: Simplify right side
    128,124x = 41,448,073,744
  5. Step 5: Solve for x
    x = 41,448,073,744/128,124
  6. Step 6: Final answer
    x = 323,499.69

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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.