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Finding the Third Proportional to 268,218 and 579,993

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Solution

The third proportional to 268,218 and 579,993 is: 1,254,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,218 : 579,993 = 579,993 : x
  2. Step 2: Convert to fraction form
    268,218/579,993 = 579,993/x
  3. Step 3: Cross multiply
    268,218x = 579,993 × 579,993
  4. Step 4: Simplify right side
    268,218x = 336,391,880,049
  5. Step 5: Solve for x
    x = 336,391,880,049/268,218
  6. Step 6: Final answer
    x = 1,254,173.40

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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.