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Finding the Third Proportional to 676.19 and 1,021.59

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Solution

The third proportional to 676.19 and 1,021.59 is: 1,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.19 : 1,021.59 = 1,021.59 : x
  2. Step 2: Convert to fraction form
    676.19/1,021.59 = 1,021.59/x
  3. Step 3: Cross multiply
    676.19x = 1,021.59 × 1,021.59
  4. Step 4: Simplify right side
    676.19x = 1,043,653.79
  5. Step 5: Solve for x
    x = 1,043,653.79/676.19
  6. Step 6: Final answer
    x = 1,543.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.