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Finding the Third Proportional to 104,854.50 and 146,610

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Solution

The third proportional to 104,854.50 and 146,610 is: 204,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,854.50 : 146,610 = 146,610 : x
  2. Step 2: Convert to fraction form
    104,854.50/146,610 = 146,610/x
  3. Step 3: Cross multiply
    104,854.50x = 146,610 × 146,610
  4. Step 4: Simplify right side
    104,854.50x = 21,494,492,100
  5. Step 5: Solve for x
    x = 21,494,492,100/104,854.50
  6. Step 6: Final answer
    x = 204,993.51

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.