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Finding the Third Proportional to 312,275 and 671,912

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Solution

The third proportional to 312,275 and 671,912 is: 1,445,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,275 : 671,912 = 671,912 : x
  2. Step 2: Convert to fraction form
    312,275/671,912 = 671,912/x
  3. Step 3: Cross multiply
    312,275x = 671,912 × 671,912
  4. Step 4: Simplify right side
    312,275x = 451,465,735,744
  5. Step 5: Solve for x
    x = 451,465,735,744/312,275
  6. Step 6: Final answer
    x = 1,445,731.28

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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.