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Finding the Third Proportional to 275,058 and 420,759

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Solution

The third proportional to 275,058 and 420,759 is: 643,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,058 : 420,759 = 420,759 : x
  2. Step 2: Convert to fraction form
    275,058/420,759 = 420,759/x
  3. Step 3: Cross multiply
    275,058x = 420,759 × 420,759
  4. Step 4: Simplify right side
    275,058x = 177,038,136,081
  5. Step 5: Solve for x
    x = 177,038,136,081/275,058
  6. Step 6: Final answer
    x = 643,639.29

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Why These Related Problems?

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