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Finding the Third Proportional to 89,939 and 129,935

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Solution

The third proportional to 89,939 and 129,935 is: 187,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,939 : 129,935 = 129,935 : x
  2. Step 2: Convert to fraction form
    89,939/129,935 = 129,935/x
  3. Step 3: Cross multiply
    89,939x = 129,935 × 129,935
  4. Step 4: Simplify right side
    89,939x = 16,883,104,225
  5. Step 5: Solve for x
    x = 16,883,104,225/89,939
  6. Step 6: Final answer
    x = 187,717.28

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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.