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Finding the Third Proportional to 393,139 and 589,091.75

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Solution

The third proportional to 393,139 and 589,091.75 is: 882,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,139 : 589,091.75 = 589,091.75 : x
  2. Step 2: Convert to fraction form
    393,139/589,091.75 = 589,091.75/x
  3. Step 3: Cross multiply
    393,139x = 589,091.75 × 589,091.75
  4. Step 4: Simplify right side
    393,139x = 347,029,089,918.06
  5. Step 5: Solve for x
    x = 347,029,089,918.06/393,139
  6. Step 6: Final answer
    x = 882,713.47

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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.