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Finding the Third Proportional to 499,128.75 and 748,450.13

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Solution

The third proportional to 499,128.75 and 748,450.13 is: 1,122,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,128.75 : 748,450.13 = 748,450.13 : x
  2. Step 2: Convert to fraction form
    499,128.75/748,450.13 = 748,450.13/x
  3. Step 3: Cross multiply
    499,128.75x = 748,450.13 × 748,450.13
  4. Step 4: Simplify right side
    499,128.75x = 560,177,589,612.52
  5. Step 5: Solve for x
    x = 560,177,589,612.52/499,128.75
  6. Step 6: Final answer
    x = 1,122,310.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.