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Finding the Third Proportional to 115,647.75 and 178,724.25

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Solution

The third proportional to 115,647.75 and 178,724.25 is: 276,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,647.75 : 178,724.25 = 178,724.25 : x
  2. Step 2: Convert to fraction form
    115,647.75/178,724.25 = 178,724.25/x
  3. Step 3: Cross multiply
    115,647.75x = 178,724.25 × 178,724.25
  4. Step 4: Simplify right side
    115,647.75x = 31,942,357,538.06
  5. Step 5: Solve for x
    x = 31,942,357,538.06/115,647.75
  6. Step 6: Final answer
    x = 276,203.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.