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Finding the Third Proportional to 454.46 and 681.06

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Solution

The third proportional to 454.46 and 681.06 is: 1,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.46 : 681.06 = 681.06 : x
  2. Step 2: Convert to fraction form
    454.46/681.06 = 681.06/x
  3. Step 3: Cross multiply
    454.46x = 681.06 × 681.06
  4. Step 4: Simplify right side
    454.46x = 463,848.79
  5. Step 5: Solve for x
    x = 463,848.79/454.46
  6. Step 6: Final answer
    x = 1,020.65

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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.