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Finding the Third Proportional to 135,129 and 289,938

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Solution

The third proportional to 135,129 and 289,938 is: 622,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,129 : 289,938 = 289,938 : x
  2. Step 2: Convert to fraction form
    135,129/289,938 = 289,938/x
  3. Step 3: Cross multiply
    135,129x = 289,938 × 289,938
  4. Step 4: Simplify right side
    135,129x = 84,064,043,844
  5. Step 5: Solve for x
    x = 84,064,043,844/135,129
  6. Step 6: Final answer
    x = 622,102.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.