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Finding the Third Proportional to 313,075.50 and 677,199

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Solution

The third proportional to 313,075.50 and 677,199 is: 1,464,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,075.50 : 677,199 = 677,199 : x
  2. Step 2: Convert to fraction form
    313,075.50/677,199 = 677,199/x
  3. Step 3: Cross multiply
    313,075.50x = 677,199 × 677,199
  4. Step 4: Simplify right side
    313,075.50x = 458,598,485,601
  5. Step 5: Solve for x
    x = 458,598,485,601/313,075.50
  6. Step 6: Final answer
    x = 1,464,817.55

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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.