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Finding the Third Proportional to 561.75 and 664.69

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Solution

The third proportional to 561.75 and 664.69 is: 786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.75 : 664.69 = 664.69 : x
  2. Step 2: Convert to fraction form
    561.75/664.69 = 664.69/x
  3. Step 3: Cross multiply
    561.75x = 664.69 × 664.69
  4. Step 4: Simplify right side
    561.75x = 441,809.47
  5. Step 5: Solve for x
    x = 441,809.47/561.75
  6. Step 6: Final answer
    x = 786.49

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.