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Finding the Third Proportional to 208,905 and 313,821

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Solution

The third proportional to 208,905 and 313,821 is: 471,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,905 : 313,821 = 313,821 : x
  2. Step 2: Convert to fraction form
    208,905/313,821 = 313,821/x
  3. Step 3: Cross multiply
    208,905x = 313,821 × 313,821
  4. Step 4: Simplify right side
    208,905x = 98,483,620,041
  5. Step 5: Solve for x
    x = 98,483,620,041/208,905
  6. Step 6: Final answer
    x = 471,427.78

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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.