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Finding the Third Proportional to 676.69 and 983.29

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Solution

The third proportional to 676.69 and 983.29 is: 1,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.69 : 983.29 = 983.29 : x
  2. Step 2: Convert to fraction form
    676.69/983.29 = 983.29/x
  3. Step 3: Cross multiply
    676.69x = 983.29 × 983.29
  4. Step 4: Simplify right side
    676.69x = 966,849.70
  5. Step 5: Solve for x
    x = 966,849.70/676.69
  6. Step 6: Final answer
    x = 1,428.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.