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Finding the Third Proportional to 360,313 and 782,162

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Solution

The third proportional to 360,313 and 782,162 is: 1,697,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,313 : 782,162 = 782,162 : x
  2. Step 2: Convert to fraction form
    360,313/782,162 = 782,162/x
  3. Step 3: Cross multiply
    360,313x = 782,162 × 782,162
  4. Step 4: Simplify right side
    360,313x = 611,777,394,244
  5. Step 5: Solve for x
    x = 611,777,394,244/360,313
  6. Step 6: Final answer
    x = 1,697,905.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.