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Finding the Third Proportional to 587.81 and 880.31

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Solution

The third proportional to 587.81 and 880.31 is: 1,318.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.81 : 880.31 = 880.31 : x
  2. Step 2: Convert to fraction form
    587.81/880.31 = 880.31/x
  3. Step 3: Cross multiply
    587.81x = 880.31 × 880.31
  4. Step 4: Simplify right side
    587.81x = 774,950.10
  5. Step 5: Solve for x
    x = 774,950.10/587.81
  6. Step 6: Final answer
    x = 1,318.36

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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.