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Finding the Third Proportional to 275,329 and 387,729

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Solution

The third proportional to 275,329 and 387,729 is: 546,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,329 : 387,729 = 387,729 : x
  2. Step 2: Convert to fraction form
    275,329/387,729 = 387,729/x
  3. Step 3: Cross multiply
    275,329x = 387,729 × 387,729
  4. Step 4: Simplify right side
    275,329x = 150,333,777,441
  5. Step 5: Solve for x
    x = 150,333,777,441/275,329
  6. Step 6: Final answer
    x = 546,015.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.