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Finding the Third Proportional to 451,538.25 and 699,542.25

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Solution

The third proportional to 451,538.25 and 699,542.25 is: 1,083,760.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,538.25 : 699,542.25 = 699,542.25 : x
  2. Step 2: Convert to fraction form
    451,538.25/699,542.25 = 699,542.25/x
  3. Step 3: Cross multiply
    451,538.25x = 699,542.25 × 699,542.25
  4. Step 4: Simplify right side
    451,538.25x = 489,359,359,535.06
  5. Step 5: Solve for x
    x = 489,359,359,535.06/451,538.25
  6. Step 6: Final answer
    x = 1,083,760.59

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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.