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Finding the Third Proportional to 310,606 and 671,990

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Solution

The third proportional to 310,606 and 671,990 is: 1,453,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,606 : 671,990 = 671,990 : x
  2. Step 2: Convert to fraction form
    310,606/671,990 = 671,990/x
  3. Step 3: Cross multiply
    310,606x = 671,990 × 671,990
  4. Step 4: Simplify right side
    310,606x = 451,570,560,100
  5. Step 5: Solve for x
    x = 451,570,560,100/310,606
  6. Step 6: Final answer
    x = 1,453,837.21

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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.