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Finding the Third Proportional to 535.68 and 834.84

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Solution

The third proportional to 535.68 and 834.84 is: 1,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.68 : 834.84 = 834.84 : x
  2. Step 2: Convert to fraction form
    535.68/834.84 = 834.84/x
  3. Step 3: Cross multiply
    535.68x = 834.84 × 834.84
  4. Step 4: Simplify right side
    535.68x = 696,954.30
  5. Step 5: Solve for x
    x = 696,954.30/535.68
  6. Step 6: Final answer
    x = 1,301.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.