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Finding the Third Proportional to 213,847 and 298,973

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Solution

The third proportional to 213,847 and 298,973 is: 417,985.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,847 : 298,973 = 298,973 : x
  2. Step 2: Convert to fraction form
    213,847/298,973 = 298,973/x
  3. Step 3: Cross multiply
    213,847x = 298,973 × 298,973
  4. Step 4: Simplify right side
    213,847x = 89,384,854,729
  5. Step 5: Solve for x
    x = 89,384,854,729/213,847
  6. Step 6: Final answer
    x = 417,985.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.