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Finding the Third Proportional to 68,180 and 149,120

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Solution

The third proportional to 68,180 and 149,120 is: 326,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,180 : 149,120 = 149,120 : x
  2. Step 2: Convert to fraction form
    68,180/149,120 = 149,120/x
  3. Step 3: Cross multiply
    68,180x = 149,120 × 149,120
  4. Step 4: Simplify right side
    68,180x = 22,236,774,400
  5. Step 5: Solve for x
    x = 22,236,774,400/68,180
  6. Step 6: Final answer
    x = 326,148.06

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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.