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Finding the Third Proportional to 237,972.94 and 509,161.78

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Solution

The third proportional to 237,972.94 and 509,161.78 is: 1,089,391.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,972.94 : 509,161.78 = 509,161.78 : x
  2. Step 2: Convert to fraction form
    237,972.94/509,161.78 = 509,161.78/x
  3. Step 3: Cross multiply
    237,972.94x = 509,161.78 × 509,161.78
  4. Step 4: Simplify right side
    237,972.94x = 259,245,719,485.67
  5. Step 5: Solve for x
    x = 259,245,719,485.67/237,972.94
  6. Step 6: Final answer
    x = 1,089,391.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.