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Finding the Third Proportional to 243,326 and 520,279

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Solution

The third proportional to 243,326 and 520,279 is: 1,112,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,326 : 520,279 = 520,279 : x
  2. Step 2: Convert to fraction form
    243,326/520,279 = 520,279/x
  3. Step 3: Cross multiply
    243,326x = 520,279 × 520,279
  4. Step 4: Simplify right side
    243,326x = 270,690,237,841
  5. Step 5: Solve for x
    x = 270,690,237,841/243,326
  6. Step 6: Final answer
    x = 1,112,459.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.