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Finding the Third Proportional to 354,698 and 778,378

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Solution

The third proportional to 354,698 and 778,378 is: 1,708,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,698 : 778,378 = 778,378 : x
  2. Step 2: Convert to fraction form
    354,698/778,378 = 778,378/x
  3. Step 3: Cross multiply
    354,698x = 778,378 × 778,378
  4. Step 4: Simplify right side
    354,698x = 605,872,310,884
  5. Step 5: Solve for x
    x = 605,872,310,884/354,698
  6. Step 6: Final answer
    x = 1,708,135.68

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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.