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Finding the Third Proportional to 128,143 and 203,659

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Solution

The third proportional to 128,143 and 203,659 is: 323,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,143 : 203,659 = 203,659 : x
  2. Step 2: Convert to fraction form
    128,143/203,659 = 203,659/x
  3. Step 3: Cross multiply
    128,143x = 203,659 × 203,659
  4. Step 4: Simplify right side
    128,143x = 41,476,988,281
  5. Step 5: Solve for x
    x = 41,476,988,281/128,143
  6. Step 6: Final answer
    x = 323,677.36

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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.