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Finding the Third Proportional to 361,360 and 778,219

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Solution

The third proportional to 361,360 and 778,219 is: 1,675,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,360 : 778,219 = 778,219 : x
  2. Step 2: Convert to fraction form
    361,360/778,219 = 778,219/x
  3. Step 3: Cross multiply
    361,360x = 778,219 × 778,219
  4. Step 4: Simplify right side
    361,360x = 605,624,811,961
  5. Step 5: Solve for x
    x = 605,624,811,961/361,360
  6. Step 6: Final answer
    x = 1,675,959.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.