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Finding the Third Proportional to 355,228.03 and 677,719.41

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Solution

The third proportional to 355,228.03 and 677,719.41 is: 1,292,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,228.03 : 677,719.41 = 677,719.41 : x
  2. Step 2: Convert to fraction form
    355,228.03/677,719.41 = 677,719.41/x
  3. Step 3: Cross multiply
    355,228.03x = 677,719.41 × 677,719.41
  4. Step 4: Simplify right side
    355,228.03x = 459,303,593,607.85
  5. Step 5: Solve for x
    x = 459,303,593,607.85/355,228.03
  6. Step 6: Final answer
    x = 1,292,982.40

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.