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Finding the Third Proportional to 682.03 and 921.52

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Solution

The third proportional to 682.03 and 921.52 is: 1,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.03 : 921.52 = 921.52 : x
  2. Step 2: Convert to fraction form
    682.03/921.52 = 921.52/x
  3. Step 3: Cross multiply
    682.03x = 921.52 × 921.52
  4. Step 4: Simplify right side
    682.03x = 849,191.05
  5. Step 5: Solve for x
    x = 849,191.05/682.03
  6. Step 6: Final answer
    x = 1,245.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.