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Finding the Third Proportional to 31,191 and 68,133

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Solution

The third proportional to 31,191 and 68,133 is: 148,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191 : 68,133 = 68,133 : x
  2. Step 2: Convert to fraction form
    31,191/68,133 = 68,133/x
  3. Step 3: Cross multiply
    31,191x = 68,133 × 68,133
  4. Step 4: Simplify right side
    31,191x = 4,642,105,689
  5. Step 5: Solve for x
    x = 4,642,105,689/31,191
  6. Step 6: Final answer
    x = 148,828.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.