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Finding the Third Proportional to 450.56 and 684.94

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Solution

The third proportional to 450.56 and 684.94 is: 1,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.56 : 684.94 = 684.94 : x
  2. Step 2: Convert to fraction form
    450.56/684.94 = 684.94/x
  3. Step 3: Cross multiply
    450.56x = 684.94 × 684.94
  4. Step 4: Simplify right side
    450.56x = 469,139.38
  5. Step 5: Solve for x
    x = 469,139.38/450.56
  6. Step 6: Final answer
    x = 1,041.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.