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Finding the Third Proportional to 122,904 and 186,921

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Solution

The third proportional to 122,904 and 186,921 is: 284,282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,904 : 186,921 = 186,921 : x
  2. Step 2: Convert to fraction form
    122,904/186,921 = 186,921/x
  3. Step 3: Cross multiply
    122,904x = 186,921 × 186,921
  4. Step 4: Simplify right side
    122,904x = 34,939,460,241
  5. Step 5: Solve for x
    x = 34,939,460,241/122,904
  6. Step 6: Final answer
    x = 284,282.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.