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Finding the Third Proportional to 380,439 and 899,697

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Solution

The third proportional to 380,439 and 899,697 is: 2,127,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,439 : 899,697 = 899,697 : x
  2. Step 2: Convert to fraction form
    380,439/899,697 = 899,697/x
  3. Step 3: Cross multiply
    380,439x = 899,697 × 899,697
  4. Step 4: Simplify right side
    380,439x = 809,454,691,809
  5. Step 5: Solve for x
    x = 809,454,691,809/380,439
  6. Step 6: Final answer
    x = 2,127,685.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.