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Finding the Third Proportional to 299,077 and 426,580

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Solution

The third proportional to 299,077 and 426,580 is: 608,440.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,077 : 426,580 = 426,580 : x
  2. Step 2: Convert to fraction form
    299,077/426,580 = 426,580/x
  3. Step 3: Cross multiply
    299,077x = 426,580 × 426,580
  4. Step 4: Simplify right side
    299,077x = 181,970,496,400
  5. Step 5: Solve for x
    x = 181,970,496,400/299,077
  6. Step 6: Final answer
    x = 608,440.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.