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Finding the Third Proportional to 587.75 and 880.25

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Solution

The third proportional to 587.75 and 880.25 is: 1,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.75 : 880.25 = 880.25 : x
  2. Step 2: Convert to fraction form
    587.75/880.25 = 880.25/x
  3. Step 3: Cross multiply
    587.75x = 880.25 × 880.25
  4. Step 4: Simplify right side
    587.75x = 774,840.06
  5. Step 5: Solve for x
    x = 774,840.06/587.75
  6. Step 6: Final answer
    x = 1,318.32

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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.