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Finding the Third Proportional to 489.38 and 695.81

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Solution

The third proportional to 489.38 and 695.81 is: 989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.38 : 695.81 = 695.81 : x
  2. Step 2: Convert to fraction form
    489.38/695.81 = 695.81/x
  3. Step 3: Cross multiply
    489.38x = 695.81 × 695.81
  4. Step 4: Simplify right side
    489.38x = 484,155.04
  5. Step 5: Solve for x
    x = 484,155.04/489.38
  6. Step 6: Final answer
    x = 989.33

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.