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Finding the Third Proportional to 440,030.25 and 699,414.75

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Solution

The third proportional to 440,030.25 and 699,414.75 is: 1,111,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,030.25 : 699,414.75 = 699,414.75 : x
  2. Step 2: Convert to fraction form
    440,030.25/699,414.75 = 699,414.75/x
  3. Step 3: Cross multiply
    440,030.25x = 699,414.75 × 699,414.75
  4. Step 4: Simplify right side
    440,030.25x = 489,180,992,517.56
  5. Step 5: Solve for x
    x = 489,180,992,517.56/440,030.25
  6. Step 6: Final answer
    x = 1,111,698.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.