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Finding the Third Proportional to 19,355 and 30,761

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Solution

The third proportional to 19,355 and 30,761 is: 48,888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,355 : 30,761 = 30,761 : x
  2. Step 2: Convert to fraction form
    19,355/30,761 = 30,761/x
  3. Step 3: Cross multiply
    19,355x = 30,761 × 30,761
  4. Step 4: Simplify right side
    19,355x = 946,239,121
  5. Step 5: Solve for x
    x = 946,239,121/19,355
  6. Step 6: Final answer
    x = 48,888.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.