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Finding the Third Proportional to 90,828 and 136,271

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Solution

The third proportional to 90,828 and 136,271 is: 204,450.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,828 : 136,271 = 136,271 : x
  2. Step 2: Convert to fraction form
    90,828/136,271 = 136,271/x
  3. Step 3: Cross multiply
    90,828x = 136,271 × 136,271
  4. Step 4: Simplify right side
    90,828x = 18,569,785,441
  5. Step 5: Solve for x
    x = 18,569,785,441/90,828
  6. Step 6: Final answer
    x = 204,450.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.