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Finding the Third Proportional to 689.91 and 1,021.22

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Solution

The third proportional to 689.91 and 1,021.22 is: 1,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.91 : 1,021.22 = 1,021.22 : x
  2. Step 2: Convert to fraction form
    689.91/1,021.22 = 1,021.22/x
  3. Step 3: Cross multiply
    689.91x = 1,021.22 × 1,021.22
  4. Step 4: Simplify right side
    689.91x = 1,042,887.74
  5. Step 5: Solve for x
    x = 1,042,887.74/689.91
  6. Step 6: Final answer
    x = 1,511.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.