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Finding the Third Proportional to 275,433.75 and 389,910.38

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Solution

The third proportional to 275,433.75 and 389,910.38 is: 551,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,433.75 : 389,910.38 = 389,910.38 : x
  2. Step 2: Convert to fraction form
    275,433.75/389,910.38 = 389,910.38/x
  3. Step 3: Cross multiply
    275,433.75x = 389,910.38 × 389,910.38
  4. Step 4: Simplify right side
    275,433.75x = 152,030,100,532.64
  5. Step 5: Solve for x
    x = 152,030,100,532.64/275,433.75
  6. Step 6: Final answer
    x = 551,966.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.