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Finding the Third Proportional to 31,364 and 75,855

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Solution

The third proportional to 31,364 and 75,855 is: 183,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,364 : 75,855 = 75,855 : x
  2. Step 2: Convert to fraction form
    31,364/75,855 = 75,855/x
  3. Step 3: Cross multiply
    31,364x = 75,855 × 75,855
  4. Step 4: Simplify right side
    31,364x = 5,753,981,025
  5. Step 5: Solve for x
    x = 5,753,981,025/31,364
  6. Step 6: Final answer
    x = 183,458.14

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.