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Finding the Third Proportional to 393,128 and 589,074

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Solution

The third proportional to 393,128 and 589,074 is: 882,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,128 : 589,074 = 589,074 : x
  2. Step 2: Convert to fraction form
    393,128/589,074 = 589,074/x
  3. Step 3: Cross multiply
    393,128x = 589,074 × 589,074
  4. Step 4: Simplify right side
    393,128x = 347,008,177,476
  5. Step 5: Solve for x
    x = 347,008,177,476/393,128
  6. Step 6: Final answer
    x = 882,684.97

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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.