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Finding the Third Proportional to 357,908 and 778,794

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Solution

The third proportional to 357,908 and 778,794 is: 1,694,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,908 : 778,794 = 778,794 : x
  2. Step 2: Convert to fraction form
    357,908/778,794 = 778,794/x
  3. Step 3: Cross multiply
    357,908x = 778,794 × 778,794
  4. Step 4: Simplify right side
    357,908x = 606,520,094,436
  5. Step 5: Solve for x
    x = 606,520,094,436/357,908
  6. Step 6: Final answer
    x = 1,694,625.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.