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Finding the Third Proportional to 1,302.33 and 2,650.22

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Solution

The third proportional to 1,302.33 and 2,650.22 is: 5,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.33 : 2,650.22 = 2,650.22 : x
  2. Step 2: Convert to fraction form
    1,302.33/2,650.22 = 2,650.22/x
  3. Step 3: Cross multiply
    1,302.33x = 2,650.22 × 2,650.22
  4. Step 4: Simplify right side
    1,302.33x = 7,023,659.42
  5. Step 5: Solve for x
    x = 7,023,659.42/1,302.33
  6. Step 6: Final answer
    x = 5,393.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.