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Finding the Third Proportional to 275,484 and 389,940

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Solution

The third proportional to 275,484 and 389,940 is: 551,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,484 : 389,940 = 389,940 : x
  2. Step 2: Convert to fraction form
    275,484/389,940 = 389,940/x
  3. Step 3: Cross multiply
    275,484x = 389,940 × 389,940
  4. Step 4: Simplify right side
    275,484x = 152,053,203,600
  5. Step 5: Solve for x
    x = 152,053,203,600/275,484
  6. Step 6: Final answer
    x = 551,949.31

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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.