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Finding the Third Proportional to 309,993 and 479,058

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Solution

The third proportional to 309,993 and 479,058 is: 740,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,993 : 479,058 = 479,058 : x
  2. Step 2: Convert to fraction form
    309,993/479,058 = 479,058/x
  3. Step 3: Cross multiply
    309,993x = 479,058 × 479,058
  4. Step 4: Simplify right side
    309,993x = 229,496,567,364
  5. Step 5: Solve for x
    x = 229,496,567,364/309,993
  6. Step 6: Final answer
    x = 740,328.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.