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Finding the Third Proportional to 456,150 and 699,679

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Solution

The third proportional to 456,150 and 699,679 is: 1,073,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,150 : 699,679 = 699,679 : x
  2. Step 2: Convert to fraction form
    456,150/699,679 = 699,679/x
  3. Step 3: Cross multiply
    456,150x = 699,679 × 699,679
  4. Step 4: Simplify right side
    456,150x = 489,550,703,041
  5. Step 5: Solve for x
    x = 489,550,703,041/456,150
  6. Step 6: Final answer
    x = 1,073,223.07

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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.