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Finding the Third Proportional to 490,328 and 693,858

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Solution

The third proportional to 490,328 and 693,858 is: 981,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,328 : 693,858 = 693,858 : x
  2. Step 2: Convert to fraction form
    490,328/693,858 = 693,858/x
  3. Step 3: Cross multiply
    490,328x = 693,858 × 693,858
  4. Step 4: Simplify right side
    490,328x = 481,438,924,164
  5. Step 5: Solve for x
    x = 481,438,924,164/490,328
  6. Step 6: Final answer
    x = 981,871.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.