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Finding the Third Proportional to 354,977 and 778,844

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Solution

The third proportional to 354,977 and 778,844 is: 1,708,837.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,977 : 778,844 = 778,844 : x
  2. Step 2: Convert to fraction form
    354,977/778,844 = 778,844/x
  3. Step 3: Cross multiply
    354,977x = 778,844 × 778,844
  4. Step 4: Simplify right side
    354,977x = 606,597,976,336
  5. Step 5: Solve for x
    x = 606,597,976,336/354,977
  6. Step 6: Final answer
    x = 1,708,837.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.