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Finding the Third Proportional to 389,217.75 and 842,406

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Solution

The third proportional to 389,217.75 and 842,406 is: 1,823,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,217.75 : 842,406 = 842,406 : x
  2. Step 2: Convert to fraction form
    389,217.75/842,406 = 842,406/x
  3. Step 3: Cross multiply
    389,217.75x = 842,406 × 842,406
  4. Step 4: Simplify right side
    389,217.75x = 709,647,868,836
  5. Step 5: Solve for x
    x = 709,647,868,836/389,217.75
  6. Step 6: Final answer
    x = 1,823,266.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.