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Finding the Third Proportional to 537.09 and 805.31

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Solution

The third proportional to 537.09 and 805.31 is: 1,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.09 : 805.31 = 805.31 : x
  2. Step 2: Convert to fraction form
    537.09/805.31 = 805.31/x
  3. Step 3: Cross multiply
    537.09x = 805.31 × 805.31
  4. Step 4: Simplify right side
    537.09x = 648,528.22
  5. Step 5: Solve for x
    x = 648,528.22/537.09
  6. Step 6: Final answer
    x = 1,207.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.