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Finding the Third Proportional to 136,233 and 202,405.50

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Solution

The third proportional to 136,233 and 202,405.50 is: 300,719.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,233 : 202,405.50 = 202,405.50 : x
  2. Step 2: Convert to fraction form
    136,233/202,405.50 = 202,405.50/x
  3. Step 3: Cross multiply
    136,233x = 202,405.50 × 202,405.50
  4. Step 4: Simplify right side
    136,233x = 40,967,986,430.25
  5. Step 5: Solve for x
    x = 40,967,986,430.25/136,233
  6. Step 6: Final answer
    x = 300,719.99

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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.