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Finding the Third Proportional to 235,279 and 509,308

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Solution

The third proportional to 235,279 and 509,308 is: 1,102,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,279 : 509,308 = 509,308 : x
  2. Step 2: Convert to fraction form
    235,279/509,308 = 509,308/x
  3. Step 3: Cross multiply
    235,279x = 509,308 × 509,308
  4. Step 4: Simplify right side
    235,279x = 259,394,638,864
  5. Step 5: Solve for x
    x = 259,394,638,864/235,279
  6. Step 6: Final answer
    x = 1,102,498.05

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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.