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Finding the Third Proportional to 408,284 and 612,834

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Solution

The third proportional to 408,284 and 612,834 is: 919,863.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,284 : 612,834 = 612,834 : x
  2. Step 2: Convert to fraction form
    408,284/612,834 = 612,834/x
  3. Step 3: Cross multiply
    408,284x = 612,834 × 612,834
  4. Step 4: Simplify right side
    408,284x = 375,565,511,556
  5. Step 5: Solve for x
    x = 375,565,511,556/408,284
  6. Step 6: Final answer
    x = 919,863.41

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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.