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Finding the Third Proportional to 355,812.75 and 784,525.50

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Solution

The third proportional to 355,812.75 and 784,525.50 is: 1,729,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,812.75 : 784,525.50 = 784,525.50 : x
  2. Step 2: Convert to fraction form
    355,812.75/784,525.50 = 784,525.50/x
  3. Step 3: Cross multiply
    355,812.75x = 784,525.50 × 784,525.50
  4. Step 4: Simplify right side
    355,812.75x = 615,480,260,150.25
  5. Step 5: Solve for x
    x = 615,480,260,150.25/355,812.75
  6. Step 6: Final answer
    x = 1,729,786.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.