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Finding the Third Proportional to 401,074 and 891,802

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Solution

The third proportional to 401,074 and 891,802 is: 1,982,952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,074 : 891,802 = 891,802 : x
  2. Step 2: Convert to fraction form
    401,074/891,802 = 891,802/x
  3. Step 3: Cross multiply
    401,074x = 891,802 × 891,802
  4. Step 4: Simplify right side
    401,074x = 795,310,807,204
  5. Step 5: Solve for x
    x = 795,310,807,204/401,074
  6. Step 6: Final answer
    x = 1,982,952.79

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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.