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Finding the Third Proportional to 189,230 and 283,873

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Solution

The third proportional to 189,230 and 283,873 is: 425,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,230 : 283,873 = 283,873 : x
  2. Step 2: Convert to fraction form
    189,230/283,873 = 283,873/x
  3. Step 3: Cross multiply
    189,230x = 283,873 × 283,873
  4. Step 4: Simplify right side
    189,230x = 80,583,880,129
  5. Step 5: Solve for x
    x = 80,583,880,129/189,230
  6. Step 6: Final answer
    x = 425,851.50

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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.