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Finding the Third Proportional to 89,576 and 133,896

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Solution

The third proportional to 89,576 and 133,896 is: 200,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,576 : 133,896 = 133,896 : x
  2. Step 2: Convert to fraction form
    89,576/133,896 = 133,896/x
  3. Step 3: Cross multiply
    89,576x = 133,896 × 133,896
  4. Step 4: Simplify right side
    89,576x = 17,928,138,816
  5. Step 5: Solve for x
    x = 17,928,138,816/89,576
  6. Step 6: Final answer
    x = 200,144.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.