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Finding the Third Proportional to 149,378 and 326,148

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Solution

The third proportional to 149,378 and 326,148 is: 712,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,378 : 326,148 = 326,148 : x
  2. Step 2: Convert to fraction form
    149,378/326,148 = 326,148/x
  3. Step 3: Cross multiply
    149,378x = 326,148 × 326,148
  4. Step 4: Simplify right side
    149,378x = 106,372,517,904
  5. Step 5: Solve for x
    x = 106,372,517,904/149,378
  6. Step 6: Final answer
    x = 712,102.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.