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Finding the Third Proportional to 122,872 and 195,378

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Solution

The third proportional to 122,872 and 195,378 is: 310,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,872 : 195,378 = 195,378 : x
  2. Step 2: Convert to fraction form
    122,872/195,378 = 195,378/x
  3. Step 3: Cross multiply
    122,872x = 195,378 × 195,378
  4. Step 4: Simplify right side
    122,872x = 38,172,562,884
  5. Step 5: Solve for x
    x = 38,172,562,884/122,872
  6. Step 6: Final answer
    x = 310,669.34

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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.