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Finding the Third Proportional to 186,923 and 280,623

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Solution

The third proportional to 186,923 and 280,623 is: 421,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,923 : 280,623 = 280,623 : x
  2. Step 2: Convert to fraction form
    186,923/280,623 = 280,623/x
  3. Step 3: Cross multiply
    186,923x = 280,623 × 280,623
  4. Step 4: Simplify right side
    186,923x = 78,749,268,129
  5. Step 5: Solve for x
    x = 78,749,268,129/186,923
  6. Step 6: Final answer
    x = 421,292.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.