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Finding the Third Proportional to 479.67 and 762.06

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Solution

The third proportional to 479.67 and 762.06 is: 1,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.67 : 762.06 = 762.06 : x
  2. Step 2: Convert to fraction form
    479.67/762.06 = 762.06/x
  3. Step 3: Cross multiply
    479.67x = 762.06 × 762.06
  4. Step 4: Simplify right side
    479.67x = 580,742.23
  5. Step 5: Solve for x
    x = 580,742.23/479.67
  6. Step 6: Final answer
    x = 1,210.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.