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Finding the Third Proportional to 311,514 and 681,996

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Solution

The third proportional to 311,514 and 681,996 is: 1,493,090.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,514 : 681,996 = 681,996 : x
  2. Step 2: Convert to fraction form
    311,514/681,996 = 681,996/x
  3. Step 3: Cross multiply
    311,514x = 681,996 × 681,996
  4. Step 4: Simplify right side
    311,514x = 465,118,544,016
  5. Step 5: Solve for x
    x = 465,118,544,016/311,514
  6. Step 6: Final answer
    x = 1,493,090.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.