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Finding the Third Proportional to 531.09 and 820.31

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Solution

The third proportional to 531.09 and 820.31 is: 1,267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.09 : 820.31 = 820.31 : x
  2. Step 2: Convert to fraction form
    531.09/820.31 = 820.31/x
  3. Step 3: Cross multiply
    531.09x = 820.31 × 820.31
  4. Step 4: Simplify right side
    531.09x = 672,912.60
  5. Step 5: Solve for x
    x = 672,912.60/531.09
  6. Step 6: Final answer
    x = 1,267.03

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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.