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Finding the Third Proportional to 322,420.50 and 683,243.44

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Solution

The third proportional to 322,420.50 and 683,243.44 is: 1,447,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,420.50 : 683,243.44 = 683,243.44 : x
  2. Step 2: Convert to fraction form
    322,420.50/683,243.44 = 683,243.44/x
  3. Step 3: Cross multiply
    322,420.50x = 683,243.44 × 683,243.44
  4. Step 4: Simplify right side
    322,420.50x = 466,821,594,886.82
  5. Step 5: Solve for x
    x = 466,821,594,886.82/322,420.50
  6. Step 6: Final answer
    x = 1,447,865.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.