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Finding the Third Proportional to 2,403 and 3,548.63

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Solution

The third proportional to 2,403 and 3,548.63 is: 5,240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403 : 3,548.63 = 3,548.63 : x
  2. Step 2: Convert to fraction form
    2,403/3,548.63 = 3,548.63/x
  3. Step 3: Cross multiply
    2,403x = 3,548.63 × 3,548.63
  4. Step 4: Simplify right side
    2,403x = 12,592,739.39
  5. Step 5: Solve for x
    x = 12,592,739.39/2,403
  6. Step 6: Final answer
    x = 5,240.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.