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Finding the Third Proportional to 550,912.50 and 842,668.13

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Solution

The third proportional to 550,912.50 and 842,668.13 is: 1,288,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,912.50 : 842,668.13 = 842,668.13 : x
  2. Step 2: Convert to fraction form
    550,912.50/842,668.13 = 842,668.13/x
  3. Step 3: Cross multiply
    550,912.50x = 842,668.13 × 842,668.13
  4. Step 4: Simplify right side
    550,912.50x = 710,089,568,891.02
  5. Step 5: Solve for x
    x = 710,089,568,891.02/550,912.50
  6. Step 6: Final answer
    x = 1,288,933.49

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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.