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Finding the Third Proportional to 454.68 and 685.81

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Solution

The third proportional to 454.68 and 685.81 is: 1,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.68 : 685.81 = 685.81 : x
  2. Step 2: Convert to fraction form
    454.68/685.81 = 685.81/x
  3. Step 3: Cross multiply
    454.68x = 685.81 × 685.81
  4. Step 4: Simplify right side
    454.68x = 470,336.11
  5. Step 5: Solve for x
    x = 470,336.11/454.68
  6. Step 6: Final answer
    x = 1,034.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.