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Finding the Third Proportional to 389,619 and 598,469

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Solution

The third proportional to 389,619 and 598,469 is: 919,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,619 : 598,469 = 598,469 : x
  2. Step 2: Convert to fraction form
    389,619/598,469 = 598,469/x
  3. Step 3: Cross multiply
    389,619x = 598,469 × 598,469
  4. Step 4: Simplify right side
    389,619x = 358,165,143,961
  5. Step 5: Solve for x
    x = 358,165,143,961/389,619
  6. Step 6: Final answer
    x = 919,270.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.