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Finding the Third Proportional to 301,828 and 408,454

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Solution

The third proportional to 301,828 and 408,454 is: 552,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,828 : 408,454 = 408,454 : x
  2. Step 2: Convert to fraction form
    301,828/408,454 = 408,454/x
  3. Step 3: Cross multiply
    301,828x = 408,454 × 408,454
  4. Step 4: Simplify right side
    301,828x = 166,834,670,116
  5. Step 5: Solve for x
    x = 166,834,670,116/301,828
  6. Step 6: Final answer
    x = 552,747.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.