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Finding the Third Proportional to 449.50 and 678.25

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Solution

The third proportional to 449.50 and 678.25 is: 1,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.50 : 678.25 = 678.25 : x
  2. Step 2: Convert to fraction form
    449.50/678.25 = 678.25/x
  3. Step 3: Cross multiply
    449.50x = 678.25 × 678.25
  4. Step 4: Simplify right side
    449.50x = 460,023.06
  5. Step 5: Solve for x
    x = 460,023.06/449.50
  6. Step 6: Final answer
    x = 1,023.41

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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.