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Finding the Third Proportional to 689.91 and 1,065.80

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Solution

The third proportional to 689.91 and 1,065.80 is: 1,646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.91 : 1,065.80 = 1,065.80 : x
  2. Step 2: Convert to fraction form
    689.91/1,065.80 = 1,065.80/x
  3. Step 3: Cross multiply
    689.91x = 1,065.80 × 1,065.80
  4. Step 4: Simplify right side
    689.91x = 1,135,922.98
  5. Step 5: Solve for x
    x = 1,135,922.98/689.91
  6. Step 6: Final answer
    x = 1,646.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.