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Finding the Third Proportional to 312,992 and 674,584

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Solution

The third proportional to 312,992 and 674,584 is: 1,453,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,992 : 674,584 = 674,584 : x
  2. Step 2: Convert to fraction form
    312,992/674,584 = 674,584/x
  3. Step 3: Cross multiply
    312,992x = 674,584 × 674,584
  4. Step 4: Simplify right side
    312,992x = 455,063,573,056
  5. Step 5: Solve for x
    x = 455,063,573,056/312,992
  6. Step 6: Final answer
    x = 1,453,914.39

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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.