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Finding the Third Proportional to 31,134 and 67,263

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Solution

The third proportional to 31,134 and 67,263 is: 145,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134 : 67,263 = 67,263 : x
  2. Step 2: Convert to fraction form
    31,134/67,263 = 67,263/x
  3. Step 3: Cross multiply
    31,134x = 67,263 × 67,263
  4. Step 4: Simplify right side
    31,134x = 4,524,311,169
  5. Step 5: Solve for x
    x = 4,524,311,169/31,134
  6. Step 6: Final answer
    x = 145,317.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.