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Finding the Third Proportional to 456,148 and 699,676

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Solution

The third proportional to 456,148 and 699,676 is: 1,073,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,148 : 699,676 = 699,676 : x
  2. Step 2: Convert to fraction form
    456,148/699,676 = 699,676/x
  3. Step 3: Cross multiply
    456,148x = 699,676 × 699,676
  4. Step 4: Simplify right side
    456,148x = 489,546,504,976
  5. Step 5: Solve for x
    x = 489,546,504,976/456,148
  6. Step 6: Final answer
    x = 1,073,218.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.