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Finding the Third Proportional to 306,198 and 435,483

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Solution

The third proportional to 306,198 and 435,483 is: 619,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,198 : 435,483 = 435,483 : x
  2. Step 2: Convert to fraction form
    306,198/435,483 = 435,483/x
  3. Step 3: Cross multiply
    306,198x = 435,483 × 435,483
  4. Step 4: Simplify right side
    306,198x = 189,645,443,289
  5. Step 5: Solve for x
    x = 189,645,443,289/306,198
  6. Step 6: Final answer
    x = 619,355.59

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.