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Finding the Third Proportional to 537.50 and 804.25

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Solution

The third proportional to 537.50 and 804.25 is: 1,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.50 : 804.25 = 804.25 : x
  2. Step 2: Convert to fraction form
    537.50/804.25 = 804.25/x
  3. Step 3: Cross multiply
    537.50x = 804.25 × 804.25
  4. Step 4: Simplify right side
    537.50x = 646,818.06
  5. Step 5: Solve for x
    x = 646,818.06/537.50
  6. Step 6: Final answer
    x = 1,203.38

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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.