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Finding the Third Proportional to 365,970 and 782,676

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Solution

The third proportional to 365,970 and 782,676 is: 1,673,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,970 : 782,676 = 782,676 : x
  2. Step 2: Convert to fraction form
    365,970/782,676 = 782,676/x
  3. Step 3: Cross multiply
    365,970x = 782,676 × 782,676
  4. Step 4: Simplify right side
    365,970x = 612,581,720,976
  5. Step 5: Solve for x
    x = 612,581,720,976/365,970
  6. Step 6: Final answer
    x = 1,673,857.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.