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Finding the Third Proportional to 142,422 and 203,529

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Solution

The third proportional to 142,422 and 203,529 is: 290,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,422 : 203,529 = 203,529 : x
  2. Step 2: Convert to fraction form
    142,422/203,529 = 203,529/x
  3. Step 3: Cross multiply
    142,422x = 203,529 × 203,529
  4. Step 4: Simplify right side
    142,422x = 41,424,053,841
  5. Step 5: Solve for x
    x = 41,424,053,841/142,422
  6. Step 6: Final answer
    x = 290,854.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.