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Finding the Third Proportional to 140,100.75 and 309,640.50

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Solution

The third proportional to 140,100.75 and 309,640.50 is: 684,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,100.75 : 309,640.50 = 309,640.50 : x
  2. Step 2: Convert to fraction form
    140,100.75/309,640.50 = 309,640.50/x
  3. Step 3: Cross multiply
    140,100.75x = 309,640.50 × 309,640.50
  4. Step 4: Simplify right side
    140,100.75x = 95,877,239,240.25
  5. Step 5: Solve for x
    x = 95,877,239,240.25/140,100.75
  6. Step 6: Final answer
    x = 684,344.94

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.