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Finding the Third Proportional to 380,433 and 899,682

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Solution

The third proportional to 380,433 and 899,682 is: 2,127,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,433 : 899,682 = 899,682 : x
  2. Step 2: Convert to fraction form
    380,433/899,682 = 899,682/x
  3. Step 3: Cross multiply
    380,433x = 899,682 × 899,682
  4. Step 4: Simplify right side
    380,433x = 809,427,701,124
  5. Step 5: Solve for x
    x = 809,427,701,124/380,433
  6. Step 6: Final answer
    x = 2,127,648.50

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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.