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Finding the Third Proportional to 682.96 and 1,054.70

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Solution

The third proportional to 682.96 and 1,054.70 is: 1,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.96 : 1,054.70 = 1,054.70 : x
  2. Step 2: Convert to fraction form
    682.96/1,054.70 = 1,054.70/x
  3. Step 3: Cross multiply
    682.96x = 1,054.70 × 1,054.70
  4. Step 4: Simplify right side
    682.96x = 1,112,393.53
  5. Step 5: Solve for x
    x = 1,112,393.53/682.96
  6. Step 6: Final answer
    x = 1,628.78

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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.