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Finding the Third Proportional to 398,974.50 and 854,001

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Solution

The third proportional to 398,974.50 and 854,001 is: 1,827,980.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,974.50 : 854,001 = 854,001 : x
  2. Step 2: Convert to fraction form
    398,974.50/854,001 = 854,001/x
  3. Step 3: Cross multiply
    398,974.50x = 854,001 × 854,001
  4. Step 4: Simplify right side
    398,974.50x = 729,317,708,001
  5. Step 5: Solve for x
    x = 729,317,708,001/398,974.50
  6. Step 6: Final answer
    x = 1,827,980.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.