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Finding the Third Proportional to 178,923 and 274,117.50

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Solution

The third proportional to 178,923 and 274,117.50 is: 419,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,923 : 274,117.50 = 274,117.50 : x
  2. Step 2: Convert to fraction form
    178,923/274,117.50 = 274,117.50/x
  3. Step 3: Cross multiply
    178,923x = 274,117.50 × 274,117.50
  4. Step 4: Simplify right side
    178,923x = 75,140,403,806.25
  5. Step 5: Solve for x
    x = 75,140,403,806.25/178,923
  6. Step 6: Final answer
    x = 419,959.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.