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Finding the Third Proportional to 134,231 and 289,034

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Solution

The third proportional to 134,231 and 289,034 is: 622,364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,231 : 289,034 = 289,034 : x
  2. Step 2: Convert to fraction form
    134,231/289,034 = 289,034/x
  3. Step 3: Cross multiply
    134,231x = 289,034 × 289,034
  4. Step 4: Simplify right side
    134,231x = 83,540,653,156
  5. Step 5: Solve for x
    x = 83,540,653,156/134,231
  6. Step 6: Final answer
    x = 622,364.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.