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Finding the Third Proportional to 393,196.50 and 590,190.75

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Solution

The third proportional to 393,196.50 and 590,190.75 is: 885,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,196.50 : 590,190.75 = 590,190.75 : x
  2. Step 2: Convert to fraction form
    393,196.50/590,190.75 = 590,190.75/x
  3. Step 3: Cross multiply
    393,196.50x = 590,190.75 × 590,190.75
  4. Step 4: Simplify right side
    393,196.50x = 348,325,121,385.56
  5. Step 5: Solve for x
    x = 348,325,121,385.56/393,196.50
  6. Step 6: Final answer
    x = 885,880.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.