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Finding the Third Proportional to 330,642 and 494,683

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Solution

The third proportional to 330,642 and 494,683 is: 740,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,642 : 494,683 = 494,683 : x
  2. Step 2: Convert to fraction form
    330,642/494,683 = 494,683/x
  3. Step 3: Cross multiply
    330,642x = 494,683 × 494,683
  4. Step 4: Simplify right side
    330,642x = 244,711,270,489
  5. Step 5: Solve for x
    x = 244,711,270,489/330,642
  6. Step 6: Final answer
    x = 740,109.46

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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.