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Finding the Third Proportional to 322,308 and 683,034.75

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Solution

The third proportional to 322,308 and 683,034.75 is: 1,447,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,308 : 683,034.75 = 683,034.75 : x
  2. Step 2: Convert to fraction form
    322,308/683,034.75 = 683,034.75/x
  3. Step 3: Cross multiply
    322,308x = 683,034.75 × 683,034.75
  4. Step 4: Simplify right side
    322,308x = 466,536,469,707.56
  5. Step 5: Solve for x
    x = 466,536,469,707.56/322,308
  6. Step 6: Final answer
    x = 1,447,486.47

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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.