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Finding the Third Proportional to 90,258 and 134,867

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Solution

The third proportional to 90,258 and 134,867 is: 201,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,258 : 134,867 = 134,867 : x
  2. Step 2: Convert to fraction form
    90,258/134,867 = 134,867/x
  3. Step 3: Cross multiply
    90,258x = 134,867 × 134,867
  4. Step 4: Simplify right side
    90,258x = 18,189,107,689
  5. Step 5: Solve for x
    x = 18,189,107,689/90,258
  6. Step 6: Final answer
    x = 201,523.50

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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.