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Finding the Third Proportional to 89,954 and 129,957

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Solution

The third proportional to 89,954 and 129,957 is: 187,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,954 : 129,957 = 129,957 : x
  2. Step 2: Convert to fraction form
    89,954/129,957 = 129,957/x
  3. Step 3: Cross multiply
    89,954x = 129,957 × 129,957
  4. Step 4: Simplify right side
    89,954x = 16,888,821,849
  5. Step 5: Solve for x
    x = 16,888,821,849/89,954
  6. Step 6: Final answer
    x = 187,749.54

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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.