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Finding the Third Proportional to 90,450 and 129,168

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Solution

The third proportional to 90,450 and 129,168 is: 184,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,450 : 129,168 = 129,168 : x
  2. Step 2: Convert to fraction form
    90,450/129,168 = 129,168/x
  3. Step 3: Cross multiply
    90,450x = 129,168 × 129,168
  4. Step 4: Simplify right side
    90,450x = 16,684,372,224
  5. Step 5: Solve for x
    x = 16,684,372,224/90,450
  6. Step 6: Final answer
    x = 184,459.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.