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Finding the Third Proportional to 275,058.75 and 420,756.38

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Solution

The third proportional to 275,058.75 and 420,756.38 is: 643,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,058.75 : 420,756.38 = 420,756.38 : x
  2. Step 2: Convert to fraction form
    275,058.75/420,756.38 = 420,756.38/x
  3. Step 3: Cross multiply
    275,058.75x = 420,756.38 × 420,756.38
  4. Step 4: Simplify right side
    275,058.75x = 177,035,927,103.14
  5. Step 5: Solve for x
    x = 177,035,927,103.14/275,058.75
  6. Step 6: Final answer
    x = 643,629.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.