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Finding the Third Proportional to 401,868 and 891,864

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Solution

The third proportional to 401,868 and 891,864 is: 1,979,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,868 : 891,864 = 891,864 : x
  2. Step 2: Convert to fraction form
    401,868/891,864 = 891,864/x
  3. Step 3: Cross multiply
    401,868x = 891,864 × 891,864
  4. Step 4: Simplify right side
    401,868x = 795,421,394,496
  5. Step 5: Solve for x
    x = 795,421,394,496/401,868
  6. Step 6: Final answer
    x = 1,979,310.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.