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Finding the Third Proportional to 90,433 and 189,127

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Solution

The third proportional to 90,433 and 189,127 is: 395,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,433 : 189,127 = 189,127 : x
  2. Step 2: Convert to fraction form
    90,433/189,127 = 189,127/x
  3. Step 3: Cross multiply
    90,433x = 189,127 × 189,127
  4. Step 4: Simplify right side
    90,433x = 35,769,022,129
  5. Step 5: Solve for x
    x = 35,769,022,129/90,433
  6. Step 6: Final answer
    x = 395,530.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.