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Finding the Third Proportional to 275,310 and 371,493

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Solution

The third proportional to 275,310 and 371,493 is: 501,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,310 : 371,493 = 371,493 : x
  2. Step 2: Convert to fraction form
    275,310/371,493 = 371,493/x
  3. Step 3: Cross multiply
    275,310x = 371,493 × 371,493
  4. Step 4: Simplify right side
    275,310x = 138,007,049,049
  5. Step 5: Solve for x
    x = 138,007,049,049/275,310
  6. Step 6: Final answer
    x = 501,278.74

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.