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Finding the Third Proportional to 584.75 and 1,082.50

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Solution

The third proportional to 584.75 and 1,082.50 is: 2,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.75 : 1,082.50 = 1,082.50 : x
  2. Step 2: Convert to fraction form
    584.75/1,082.50 = 1,082.50/x
  3. Step 3: Cross multiply
    584.75x = 1,082.50 × 1,082.50
  4. Step 4: Simplify right side
    584.75x = 1,171,806.25
  5. Step 5: Solve for x
    x = 1,171,806.25/584.75
  6. Step 6: Final answer
    x = 2,003.94

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.