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Finding the Third Proportional to 209,279 and 313,101

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Solution

The third proportional to 209,279 and 313,101 is: 468,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,279 : 313,101 = 313,101 : x
  2. Step 2: Convert to fraction form
    209,279/313,101 = 313,101/x
  3. Step 3: Cross multiply
    209,279x = 313,101 × 313,101
  4. Step 4: Simplify right side
    209,279x = 98,032,236,201
  5. Step 5: Solve for x
    x = 98,032,236,201/209,279
  6. Step 6: Final answer
    x = 468,428.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.