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Finding the Third Proportional to 128,122 and 203,586

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Solution

The third proportional to 128,122 and 203,586 is: 323,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,122 : 203,586 = 203,586 : x
  2. Step 2: Convert to fraction form
    128,122/203,586 = 203,586/x
  3. Step 3: Cross multiply
    128,122x = 203,586 × 203,586
  4. Step 4: Simplify right side
    128,122x = 41,447,259,396
  5. Step 5: Solve for x
    x = 41,447,259,396/128,122
  6. Step 6: Final answer
    x = 323,498.38

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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.