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Finding the Third Proportional to 321,171.75 and 697,686.75

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Solution

The third proportional to 321,171.75 and 697,686.75 is: 1,515,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,171.75 : 697,686.75 = 697,686.75 : x
  2. Step 2: Convert to fraction form
    321,171.75/697,686.75 = 697,686.75/x
  3. Step 3: Cross multiply
    321,171.75x = 697,686.75 × 697,686.75
  4. Step 4: Simplify right side
    321,171.75x = 486,766,801,125.56
  5. Step 5: Solve for x
    x = 486,766,801,125.56/321,171.75
  6. Step 6: Final answer
    x = 1,515,596.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.