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Finding the Third Proportional to 389,834.50 and 583,161

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Solution

The third proportional to 389,834.50 and 583,161 is: 872,361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,834.50 : 583,161 = 583,161 : x
  2. Step 2: Convert to fraction form
    389,834.50/583,161 = 583,161/x
  3. Step 3: Cross multiply
    389,834.50x = 583,161 × 583,161
  4. Step 4: Simplify right side
    389,834.50x = 340,076,751,921
  5. Step 5: Solve for x
    x = 340,076,751,921/389,834.50
  6. Step 6: Final answer
    x = 872,361.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.