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Finding the Third Proportional to 273,429 and 365,838.75

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Solution

The third proportional to 273,429 and 365,838.75 is: 489,479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,429 : 365,838.75 = 365,838.75 : x
  2. Step 2: Convert to fraction form
    273,429/365,838.75 = 365,838.75/x
  3. Step 3: Cross multiply
    273,429x = 365,838.75 × 365,838.75
  4. Step 4: Simplify right side
    273,429x = 133,837,991,001.56
  5. Step 5: Solve for x
    x = 133,837,991,001.56/273,429
  6. Step 6: Final answer
    x = 489,479.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.