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Finding the Third Proportional to 531.56 and 834.47

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Solution

The third proportional to 531.56 and 834.47 is: 1,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.56 : 834.47 = 834.47 : x
  2. Step 2: Convert to fraction form
    531.56/834.47 = 834.47/x
  3. Step 3: Cross multiply
    531.56x = 834.47 × 834.47
  4. Step 4: Simplify right side
    531.56x = 696,338.09
  5. Step 5: Solve for x
    x = 696,338.09/531.56
  6. Step 6: Final answer
    x = 1,309.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.