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Finding the Third Proportional to 360,128 and 774,901

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Solution

The third proportional to 360,128 and 774,901 is: 1,667,383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,128 : 774,901 = 774,901 : x
  2. Step 2: Convert to fraction form
    360,128/774,901 = 774,901/x
  3. Step 3: Cross multiply
    360,128x = 774,901 × 774,901
  4. Step 4: Simplify right side
    360,128x = 600,471,559,801
  5. Step 5: Solve for x
    x = 600,471,559,801/360,128
  6. Step 6: Final answer
    x = 1,667,383.71

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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.