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Finding the Third Proportional to 360,817 and 774,940

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Solution

The third proportional to 360,817 and 774,940 is: 1,664,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,817 : 774,940 = 774,940 : x
  2. Step 2: Convert to fraction form
    360,817/774,940 = 774,940/x
  3. Step 3: Cross multiply
    360,817x = 774,940 × 774,940
  4. Step 4: Simplify right side
    360,817x = 600,532,003,600
  5. Step 5: Solve for x
    x = 600,532,003,600/360,817
  6. Step 6: Final answer
    x = 1,664,367.27

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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.