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Finding the Third Proportional to 586.13 and 878.81

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Solution

The third proportional to 586.13 and 878.81 is: 1,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.13 : 878.81 = 878.81 : x
  2. Step 2: Convert to fraction form
    586.13/878.81 = 878.81/x
  3. Step 3: Cross multiply
    586.13x = 878.81 × 878.81
  4. Step 4: Simplify right side
    586.13x = 772,311.41
  5. Step 5: Solve for x
    x = 772,311.41/586.13
  6. Step 6: Final answer
    x = 1,317.66

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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.