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Finding the Third Proportional to 313,290.75 and 643,179.75

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Solution

The third proportional to 313,290.75 and 643,179.75 is: 1,320,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,290.75 : 643,179.75 = 643,179.75 : x
  2. Step 2: Convert to fraction form
    313,290.75/643,179.75 = 643,179.75/x
  3. Step 3: Cross multiply
    313,290.75x = 643,179.75 × 643,179.75
  4. Step 4: Simplify right side
    313,290.75x = 413,680,190,810.06
  5. Step 5: Solve for x
    x = 413,680,190,810.06/313,290.75
  6. Step 6: Final answer
    x = 1,320,435.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.