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Finding the Third Proportional to 360,132 and 774,909

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Solution

The third proportional to 360,132 and 774,909 is: 1,667,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,132 : 774,909 = 774,909 : x
  2. Step 2: Convert to fraction form
    360,132/774,909 = 774,909/x
  3. Step 3: Cross multiply
    360,132x = 774,909 × 774,909
  4. Step 4: Simplify right side
    360,132x = 600,483,958,281
  5. Step 5: Solve for x
    x = 600,483,958,281/360,132
  6. Step 6: Final answer
    x = 1,667,399.62

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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.