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Finding the Third Proportional to 133,336.50 and 290,640

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Solution

The third proportional to 133,336.50 and 290,640 is: 633,522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,336.50 : 290,640 = 290,640 : x
  2. Step 2: Convert to fraction form
    133,336.50/290,640 = 290,640/x
  3. Step 3: Cross multiply
    133,336.50x = 290,640 × 290,640
  4. Step 4: Simplify right side
    133,336.50x = 84,471,609,600
  5. Step 5: Solve for x
    x = 84,471,609,600/133,336.50
  6. Step 6: Final answer
    x = 633,522.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.