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Finding the Third Proportional to 587.25 and 879.47

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Solution

The third proportional to 587.25 and 879.47 is: 1,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.25 : 879.47 = 879.47 : x
  2. Step 2: Convert to fraction form
    587.25/879.47 = 879.47/x
  3. Step 3: Cross multiply
    587.25x = 879.47 × 879.47
  4. Step 4: Simplify right side
    587.25x = 773,465.28
  5. Step 5: Solve for x
    x = 773,465.28/587.25
  6. Step 6: Final answer
    x = 1,317.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.