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Finding the Third Proportional to 451,629 and 699,691.50

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Solution

The third proportional to 451,629 and 699,691.50 is: 1,084,005.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,629 : 699,691.50 = 699,691.50 : x
  2. Step 2: Convert to fraction form
    451,629/699,691.50 = 699,691.50/x
  3. Step 3: Cross multiply
    451,629x = 699,691.50 × 699,691.50
  4. Step 4: Simplify right side
    451,629x = 489,568,195,172.25
  5. Step 5: Solve for x
    x = 489,568,195,172.25/451,629
  6. Step 6: Final answer
    x = 1,084,005.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.