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Finding the Third Proportional to 213,862 and 298,991

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Solution

The third proportional to 213,862 and 298,991 is: 418,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,862 : 298,991 = 298,991 : x
  2. Step 2: Convert to fraction form
    213,862/298,991 = 298,991/x
  3. Step 3: Cross multiply
    213,862x = 298,991 × 298,991
  4. Step 4: Simplify right side
    213,862x = 89,395,618,081
  5. Step 5: Solve for x
    x = 89,395,618,081/213,862
  6. Step 6: Final answer
    x = 418,006.09

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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.