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Finding the Third Proportional to 321,817.50 and 694,237.50

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Solution

The third proportional to 321,817.50 and 694,237.50 is: 1,497,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,817.50 : 694,237.50 = 694,237.50 : x
  2. Step 2: Convert to fraction form
    321,817.50/694,237.50 = 694,237.50/x
  3. Step 3: Cross multiply
    321,817.50x = 694,237.50 × 694,237.50
  4. Step 4: Simplify right side
    321,817.50x = 481,965,706,406.25
  5. Step 5: Solve for x
    x = 481,965,706,406.25/321,817.50
  6. Step 6: Final answer
    x = 1,497,636.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.