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Finding the Third Proportional to 355,715 and 770,949

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Solution

The third proportional to 355,715 and 770,949 is: 1,670,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,715 : 770,949 = 770,949 : x
  2. Step 2: Convert to fraction form
    355,715/770,949 = 770,949/x
  3. Step 3: Cross multiply
    355,715x = 770,949 × 770,949
  4. Step 4: Simplify right side
    355,715x = 594,362,360,601
  5. Step 5: Solve for x
    x = 594,362,360,601/355,715
  6. Step 6: Final answer
    x = 1,670,894.85

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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.