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Finding the Third Proportional to 68,477.06 and 149,409.56

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Solution

The third proportional to 68,477.06 and 149,409.56 is: 325,995.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,477.06 : 149,409.56 = 149,409.56 : x
  2. Step 2: Convert to fraction form
    68,477.06/149,409.56 = 149,409.56/x
  3. Step 3: Cross multiply
    68,477.06x = 149,409.56 × 149,409.56
  4. Step 4: Simplify right side
    68,477.06x = 22,323,217,366.44
  5. Step 5: Solve for x
    x = 22,323,217,366.44/68,477.06
  6. Step 6: Final answer
    x = 325,995.55

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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.