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Finding the Third Proportional to 89,411 and 135,028

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Solution

The third proportional to 89,411 and 135,028 is: 203,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,411 : 135,028 = 135,028 : x
  2. Step 2: Convert to fraction form
    89,411/135,028 = 135,028/x
  3. Step 3: Cross multiply
    89,411x = 135,028 × 135,028
  4. Step 4: Simplify right side
    89,411x = 18,232,560,784
  5. Step 5: Solve for x
    x = 18,232,560,784/89,411
  6. Step 6: Final answer
    x = 203,918.54

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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.