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Finding the Third Proportional to 1,573 and 3,275.50

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Solution

The third proportional to 1,573 and 3,275.50 is: 6,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573 : 3,275.50 = 3,275.50 : x
  2. Step 2: Convert to fraction form
    1,573/3,275.50 = 3,275.50/x
  3. Step 3: Cross multiply
    1,573x = 3,275.50 × 3,275.50
  4. Step 4: Simplify right side
    1,573x = 10,728,900.25
  5. Step 5: Solve for x
    x = 10,728,900.25/1,573
  6. Step 6: Final answer
    x = 6,820.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.