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Finding the Third Proportional to 783.68 and 1,147.69

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Solution

The third proportional to 783.68 and 1,147.69 is: 1,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.68 : 1,147.69 = 1,147.69 : x
  2. Step 2: Convert to fraction form
    783.68/1,147.69 = 1,147.69/x
  3. Step 3: Cross multiply
    783.68x = 1,147.69 × 1,147.69
  4. Step 4: Simplify right side
    783.68x = 1,317,202.57
  5. Step 5: Solve for x
    x = 1,317,202.57/783.68
  6. Step 6: Final answer
    x = 1,680.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.