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Finding the Third Proportional to 417,219 and 774,843

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Solution

The third proportional to 417,219 and 774,843 is: 1,439,008.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,219 : 774,843 = 774,843 : x
  2. Step 2: Convert to fraction form
    417,219/774,843 = 774,843/x
  3. Step 3: Cross multiply
    417,219x = 774,843 × 774,843
  4. Step 4: Simplify right side
    417,219x = 600,381,674,649
  5. Step 5: Solve for x
    x = 600,381,674,649/417,219
  6. Step 6: Final answer
    x = 1,439,008.47

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.