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Finding the Third Proportional to 439,912.50 and 680,085

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Solution

The third proportional to 439,912.50 and 680,085 is: 1,051,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,912.50 : 680,085 = 680,085 : x
  2. Step 2: Convert to fraction form
    439,912.50/680,085 = 680,085/x
  3. Step 3: Cross multiply
    439,912.50x = 680,085 × 680,085
  4. Step 4: Simplify right side
    439,912.50x = 462,515,607,225
  5. Step 5: Solve for x
    x = 462,515,607,225/439,912.50
  6. Step 6: Final answer
    x = 1,051,380.92

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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.