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Finding the Third Proportional to 135,744.75 and 289,518.75

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Solution

The third proportional to 135,744.75 and 289,518.75 is: 617,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,744.75 : 289,518.75 = 289,518.75 : x
  2. Step 2: Convert to fraction form
    135,744.75/289,518.75 = 289,518.75/x
  3. Step 3: Cross multiply
    135,744.75x = 289,518.75 × 289,518.75
  4. Step 4: Simplify right side
    135,744.75x = 83,821,106,601.56
  5. Step 5: Solve for x
    x = 83,821,106,601.56/135,744.75
  6. Step 6: Final answer
    x = 617,490.60

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.