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Finding the Third Proportional to 389,622 and 699,702

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Solution

The third proportional to 389,622 and 699,702 is: 1,256,558.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,622 : 699,702 = 699,702 : x
  2. Step 2: Convert to fraction form
    389,622/699,702 = 699,702/x
  3. Step 3: Cross multiply
    389,622x = 699,702 × 699,702
  4. Step 4: Simplify right side
    389,622x = 489,582,888,804
  5. Step 5: Solve for x
    x = 489,582,888,804/389,622
  6. Step 6: Final answer
    x = 1,256,558.64

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.