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Finding the Third Proportional to 89,936 and 129,930

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Solution

The third proportional to 89,936 and 129,930 is: 187,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,936 : 129,930 = 129,930 : x
  2. Step 2: Convert to fraction form
    89,936/129,930 = 129,930/x
  3. Step 3: Cross multiply
    89,936x = 129,930 × 129,930
  4. Step 4: Simplify right side
    89,936x = 16,881,804,900
  5. Step 5: Solve for x
    x = 16,881,804,900/89,936
  6. Step 6: Final answer
    x = 187,709.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.