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Finding the Third Proportional to 372,868 and 782,168

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Solution

The third proportional to 372,868 and 782,168 is: 1,640,759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,868 : 782,168 = 782,168 : x
  2. Step 2: Convert to fraction form
    372,868/782,168 = 782,168/x
  3. Step 3: Cross multiply
    372,868x = 782,168 × 782,168
  4. Step 4: Simplify right side
    372,868x = 611,786,780,224
  5. Step 5: Solve for x
    x = 611,786,780,224/372,868
  6. Step 6: Final answer
    x = 1,640,759.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.