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Finding the Third Proportional to 354,525.75 and 509,640.75

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Solution

The third proportional to 354,525.75 and 509,640.75 is: 732,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,525.75 : 509,640.75 = 509,640.75 : x
  2. Step 2: Convert to fraction form
    354,525.75/509,640.75 = 509,640.75/x
  3. Step 3: Cross multiply
    354,525.75x = 509,640.75 × 509,640.75
  4. Step 4: Simplify right side
    354,525.75x = 259,733,694,060.56
  5. Step 5: Solve for x
    x = 259,733,694,060.56/354,525.75
  6. Step 6: Final answer
    x = 732,622.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.