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Finding the Third Proportional to 783.28 and 1,720.41

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Solution

The third proportional to 783.28 and 1,720.41 is: 3,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.28 : 1,720.41 = 1,720.41 : x
  2. Step 2: Convert to fraction form
    783.28/1,720.41 = 1,720.41/x
  3. Step 3: Cross multiply
    783.28x = 1,720.41 × 1,720.41
  4. Step 4: Simplify right side
    783.28x = 2,959,797.67
  5. Step 5: Solve for x
    x = 2,959,797.67/783.28
  6. Step 6: Final answer
    x = 3,778.72

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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.