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Finding the Third Proportional to 89,760 and 135,888

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Solution

The third proportional to 89,760 and 135,888 is: 205,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,760 : 135,888 = 135,888 : x
  2. Step 2: Convert to fraction form
    89,760/135,888 = 135,888/x
  3. Step 3: Cross multiply
    89,760x = 135,888 × 135,888
  4. Step 4: Simplify right side
    89,760x = 18,465,548,544
  5. Step 5: Solve for x
    x = 18,465,548,544/89,760
  6. Step 6: Final answer
    x = 205,721.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.