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Finding the Third Proportional to 133,386.19 and 203,415.75

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Solution

The third proportional to 133,386.19 and 203,415.75 is: 310,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,386.19 : 203,415.75 = 203,415.75 : x
  2. Step 2: Convert to fraction form
    133,386.19/203,415.75 = 203,415.75/x
  3. Step 3: Cross multiply
    133,386.19x = 203,415.75 × 203,415.75
  4. Step 4: Simplify right side
    133,386.19x = 41,377,967,348.06
  5. Step 5: Solve for x
    x = 41,377,967,348.06/133,386.19
  6. Step 6: Final answer
    x = 310,211.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.