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Finding the Third Proportional to 290,654 and 394,509

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Solution

The third proportional to 290,654 and 394,509 is: 535,472.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,654 : 394,509 = 394,509 : x
  2. Step 2: Convert to fraction form
    290,654/394,509 = 394,509/x
  3. Step 3: Cross multiply
    290,654x = 394,509 × 394,509
  4. Step 4: Simplify right side
    290,654x = 155,637,351,081
  5. Step 5: Solve for x
    x = 155,637,351,081/290,654
  6. Step 6: Final answer
    x = 535,472.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.