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Finding the Third Proportional to 559.69 and 851.91

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Solution

The third proportional to 559.69 and 851.91 is: 1,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.69 : 851.91 = 851.91 : x
  2. Step 2: Convert to fraction form
    559.69/851.91 = 851.91/x
  3. Step 3: Cross multiply
    559.69x = 851.91 × 851.91
  4. Step 4: Simplify right side
    559.69x = 725,744.26
  5. Step 5: Solve for x
    x = 725,744.26/559.69
  6. Step 6: Final answer
    x = 1,296.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.