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Finding the Third Proportional to 408,392 and 612,980

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Solution

The third proportional to 408,392 and 612,980 is: 920,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,392 : 612,980 = 612,980 : x
  2. Step 2: Convert to fraction form
    408,392/612,980 = 612,980/x
  3. Step 3: Cross multiply
    408,392x = 612,980 × 612,980
  4. Step 4: Simplify right side
    408,392x = 375,744,480,400
  5. Step 5: Solve for x
    x = 375,744,480,400/408,392
  6. Step 6: Final answer
    x = 920,058.38

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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.