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Finding the Third Proportional to 573 and 816.50

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Solution

The third proportional to 573 and 816.50 is: 1,163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    573 : 816.50 = 816.50 : x
  2. Step 2: Convert to fraction form
    573/816.50 = 816.50/x
  3. Step 3: Cross multiply
    573x = 816.50 × 816.50
  4. Step 4: Simplify right side
    573x = 666,672.25
  5. Step 5: Solve for x
    x = 666,672.25/573
  6. Step 6: Final answer
    x = 1,163.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.