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Finding the Third Proportional to 389,616 and 699,690

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Solution

The third proportional to 389,616 and 699,690 is: 1,256,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,616 : 699,690 = 699,690 : x
  2. Step 2: Convert to fraction form
    389,616/699,690 = 699,690/x
  3. Step 3: Cross multiply
    389,616x = 699,690 × 699,690
  4. Step 4: Simplify right side
    389,616x = 489,566,096,100
  5. Step 5: Solve for x
    x = 489,566,096,100/389,616
  6. Step 6: Final answer
    x = 1,256,534.89

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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.