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Finding the Third Proportional to 453,778 and 978,266

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Solution

The third proportional to 453,778 and 978,266 is: 2,108,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,778 : 978,266 = 978,266 : x
  2. Step 2: Convert to fraction form
    453,778/978,266 = 978,266/x
  3. Step 3: Cross multiply
    453,778x = 978,266 × 978,266
  4. Step 4: Simplify right side
    453,778x = 957,004,366,756
  5. Step 5: Solve for x
    x = 957,004,366,756/453,778
  6. Step 6: Final answer
    x = 2,108,970.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.