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Finding the Third Proportional to 360,811.50 and 774,930

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Solution

The third proportional to 360,811.50 and 774,930 is: 1,664,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,811.50 : 774,930 = 774,930 : x
  2. Step 2: Convert to fraction form
    360,811.50/774,930 = 774,930/x
  3. Step 3: Cross multiply
    360,811.50x = 774,930 × 774,930
  4. Step 4: Simplify right side
    360,811.50x = 600,516,504,900
  5. Step 5: Solve for x
    x = 600,516,504,900/360,811.50
  6. Step 6: Final answer
    x = 1,664,349.68

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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.