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Finding the Third Proportional to 454.81 and 695.38

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Solution

The third proportional to 454.81 and 695.38 is: 1,063.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.81 : 695.38 = 695.38 : x
  2. Step 2: Convert to fraction form
    454.81/695.38 = 695.38/x
  3. Step 3: Cross multiply
    454.81x = 695.38 × 695.38
  4. Step 4: Simplify right side
    454.81x = 483,546.39
  5. Step 5: Solve for x
    x = 483,546.39/454.81
  6. Step 6: Final answer
    x = 1,063.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.