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Finding the Third Proportional to 401,498 and 891,568

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Solution

The third proportional to 401,498 and 891,568 is: 1,979,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,498 : 891,568 = 891,568 : x
  2. Step 2: Convert to fraction form
    401,498/891,568 = 891,568/x
  3. Step 3: Cross multiply
    401,498x = 891,568 × 891,568
  4. Step 4: Simplify right side
    401,498x = 794,893,498,624
  5. Step 5: Solve for x
    x = 794,893,498,624/401,498
  6. Step 6: Final answer
    x = 1,979,819.32

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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.