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Finding the Third Proportional to 585.56 and 879.19

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Solution

The third proportional to 585.56 and 879.19 is: 1,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.56 : 879.19 = 879.19 : x
  2. Step 2: Convert to fraction form
    585.56/879.19 = 879.19/x
  3. Step 3: Cross multiply
    585.56x = 879.19 × 879.19
  4. Step 4: Simplify right side
    585.56x = 772,970.66
  5. Step 5: Solve for x
    x = 772,970.66/585.56
  6. Step 6: Final answer
    x = 1,320.05

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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.