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Finding the Third Proportional to 89,928 and 129,546

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Solution

The third proportional to 89,928 and 129,546 is: 186,617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,928 : 129,546 = 129,546 : x
  2. Step 2: Convert to fraction form
    89,928/129,546 = 129,546/x
  3. Step 3: Cross multiply
    89,928x = 129,546 × 129,546
  4. Step 4: Simplify right side
    89,928x = 16,782,166,116
  5. Step 5: Solve for x
    x = 16,782,166,116/89,928
  6. Step 6: Final answer
    x = 186,617.81

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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.