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Finding the Third Proportional to 317,450.50 and 677,954

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Solution

The third proportional to 317,450.50 and 677,954 is: 1,447,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,450.50 : 677,954 = 677,954 : x
  2. Step 2: Convert to fraction form
    317,450.50/677,954 = 677,954/x
  3. Step 3: Cross multiply
    317,450.50x = 677,954 × 677,954
  4. Step 4: Simplify right side
    317,450.50x = 459,621,626,116
  5. Step 5: Solve for x
    x = 459,621,626,116/317,450.50
  6. Step 6: Final answer
    x = 1,447,852.90

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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.