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Finding the Third Proportional to 354,686 and 778,276

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Solution

The third proportional to 354,686 and 778,276 is: 1,707,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,686 : 778,276 = 778,276 : x
  2. Step 2: Convert to fraction form
    354,686/778,276 = 778,276/x
  3. Step 3: Cross multiply
    354,686x = 778,276 × 778,276
  4. Step 4: Simplify right side
    354,686x = 605,713,532,176
  5. Step 5: Solve for x
    x = 605,713,532,176/354,686
  6. Step 6: Final answer
    x = 1,707,745.82

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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.