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Finding the Third Proportional to 490,379 and 1,058,169

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Solution

The third proportional to 490,379 and 1,058,169 is: 2,283,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,379 : 1,058,169 = 1,058,169 : x
  2. Step 2: Convert to fraction form
    490,379/1,058,169 = 1,058,169/x
  3. Step 3: Cross multiply
    490,379x = 1,058,169 × 1,058,169
  4. Step 4: Simplify right side
    490,379x = 1,119,721,632,561
  5. Step 5: Solve for x
    x = 1,119,721,632,561/490,379
  6. Step 6: Final answer
    x = 2,283,380.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.