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Finding the Third Proportional to 525.13 and 1,093.38

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Solution

The third proportional to 525.13 and 1,093.38 is: 2,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.13 : 1,093.38 = 1,093.38 : x
  2. Step 2: Convert to fraction form
    525.13/1,093.38 = 1,093.38/x
  3. Step 3: Cross multiply
    525.13x = 1,093.38 × 1,093.38
  4. Step 4: Simplify right side
    525.13x = 1,195,468.89
  5. Step 5: Solve for x
    x = 1,195,468.89/525.13
  6. Step 6: Final answer
    x = 2,276.54

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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.