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Finding the Third Proportional to 505.69 and 721.97

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Solution

The third proportional to 505.69 and 721.97 is: 1,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.69 : 721.97 = 721.97 : x
  2. Step 2: Convert to fraction form
    505.69/721.97 = 721.97/x
  3. Step 3: Cross multiply
    505.69x = 721.97 × 721.97
  4. Step 4: Simplify right side
    505.69x = 521,238.88
  5. Step 5: Solve for x
    x = 521,238.88/505.69
  6. Step 6: Final answer
    x = 1,030.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.