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Finding the Third Proportional to 683.25 and 1,420.50

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Solution

The third proportional to 683.25 and 1,420.50 is: 2,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.25 : 1,420.50 = 1,420.50 : x
  2. Step 2: Convert to fraction form
    683.25/1,420.50 = 1,420.50/x
  3. Step 3: Cross multiply
    683.25x = 1,420.50 × 1,420.50
  4. Step 4: Simplify right side
    683.25x = 2,017,820.25
  5. Step 5: Solve for x
    x = 2,017,820.25/683.25
  6. Step 6: Final answer
    x = 2,953.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.