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Finding the Third Proportional to 783.44 and 1,720.69

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Solution

The third proportional to 783.44 and 1,720.69 is: 3,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.44 : 1,720.69 = 1,720.69 : x
  2. Step 2: Convert to fraction form
    783.44/1,720.69 = 1,720.69/x
  3. Step 3: Cross multiply
    783.44x = 1,720.69 × 1,720.69
  4. Step 4: Simplify right side
    783.44x = 2,960,765.47
  5. Step 5: Solve for x
    x = 2,960,765.47/783.44
  6. Step 6: Final answer
    x = 3,779.20

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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.