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Finding the Third Proportional to 312,990 and 674,580

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Solution

The third proportional to 312,990 and 674,580 is: 1,453,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,990 : 674,580 = 674,580 : x
  2. Step 2: Convert to fraction form
    312,990/674,580 = 674,580/x
  3. Step 3: Cross multiply
    312,990x = 674,580 × 674,580
  4. Step 4: Simplify right side
    312,990x = 455,058,176,400
  5. Step 5: Solve for x
    x = 455,058,176,400/312,990
  6. Step 6: Final answer
    x = 1,453,906.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.