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Finding the Third Proportional to 89,583 and 135,521

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Solution

The third proportional to 89,583 and 135,521 is: 205,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,583 : 135,521 = 135,521 : x
  2. Step 2: Convert to fraction form
    89,583/135,521 = 135,521/x
  3. Step 3: Cross multiply
    89,583x = 135,521 × 135,521
  4. Step 4: Simplify right side
    89,583x = 18,365,941,441
  5. Step 5: Solve for x
    x = 18,365,941,441/89,583
  6. Step 6: Final answer
    x = 205,015.92

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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.