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Finding the Third Proportional to 354.09 and 538.31

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Solution

The third proportional to 354.09 and 538.31 is: 818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.09 : 538.31 = 538.31 : x
  2. Step 2: Convert to fraction form
    354.09/538.31 = 538.31/x
  3. Step 3: Cross multiply
    354.09x = 538.31 × 538.31
  4. Step 4: Simplify right side
    354.09x = 289,780.35
  5. Step 5: Solve for x
    x = 289,780.35/354.09
  6. Step 6: Final answer
    x = 818.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.