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Finding the Third Proportional to 312,298 and 671,968

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Solution

The third proportional to 312,298 and 671,968 is: 1,445,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,298 : 671,968 = 671,968 : x
  2. Step 2: Convert to fraction form
    312,298/671,968 = 671,968/x
  3. Step 3: Cross multiply
    312,298x = 671,968 × 671,968
  4. Step 4: Simplify right side
    312,298x = 451,540,993,024
  5. Step 5: Solve for x
    x = 451,540,993,024/312,298
  6. Step 6: Final answer
    x = 1,445,865.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.