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Finding the Third Proportional to 135,442.50 and 201,213.75

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Solution

The third proportional to 135,442.50 and 201,213.75 is: 298,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,442.50 : 201,213.75 = 201,213.75 : x
  2. Step 2: Convert to fraction form
    135,442.50/201,213.75 = 201,213.75/x
  3. Step 3: Cross multiply
    135,442.50x = 201,213.75 × 201,213.75
  4. Step 4: Simplify right side
    135,442.50x = 40,486,973,189.06
  5. Step 5: Solve for x
    x = 40,486,973,189.06/135,442.50
  6. Step 6: Final answer
    x = 298,923.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.