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Finding the Third Proportional to 139,512 and 305,106

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Solution

The third proportional to 139,512 and 305,106 is: 667,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,512 : 305,106 = 305,106 : x
  2. Step 2: Convert to fraction form
    139,512/305,106 = 305,106/x
  3. Step 3: Cross multiply
    139,512x = 305,106 × 305,106
  4. Step 4: Simplify right side
    139,512x = 93,089,671,236
  5. Step 5: Solve for x
    x = 93,089,671,236/139,512
  6. Step 6: Final answer
    x = 667,252.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.