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Finding the Third Proportional to 209,751 and 314,649

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Solution

The third proportional to 209,751 and 314,649 is: 472,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,751 : 314,649 = 314,649 : x
  2. Step 2: Convert to fraction form
    209,751/314,649 = 314,649/x
  3. Step 3: Cross multiply
    209,751x = 314,649 × 314,649
  4. Step 4: Simplify right side
    209,751x = 99,003,993,201
  5. Step 5: Solve for x
    x = 99,003,993,201/209,751
  6. Step 6: Final answer
    x = 472,007.25

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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.