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Finding the Third Proportional to 317,578.50 and 685,028.25

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Solution

The third proportional to 317,578.50 and 685,028.25 is: 1,477,630.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,578.50 : 685,028.25 = 685,028.25 : x
  2. Step 2: Convert to fraction form
    317,578.50/685,028.25 = 685,028.25/x
  3. Step 3: Cross multiply
    317,578.50x = 685,028.25 × 685,028.25
  4. Step 4: Simplify right side
    317,578.50x = 469,263,703,298.06
  5. Step 5: Solve for x
    x = 469,263,703,298.06/317,578.50
  6. Step 6: Final answer
    x = 1,477,630.58

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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.