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Finding the Third Proportional to 682.80 and 1,049.84

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Solution

The third proportional to 682.80 and 1,049.84 is: 1,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.80 : 1,049.84 = 1,049.84 : x
  2. Step 2: Convert to fraction form
    682.80/1,049.84 = 1,049.84/x
  3. Step 3: Cross multiply
    682.80x = 1,049.84 × 1,049.84
  4. Step 4: Simplify right side
    682.80x = 1,102,155.50
  5. Step 5: Solve for x
    x = 1,102,155.50/682.80
  6. Step 6: Final answer
    x = 1,614.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.