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Finding the Third Proportional to 3,654.35 and 5,514.40

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Solution

The third proportional to 3,654.35 and 5,514.40 is: 8,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.35 : 5,514.40 = 5,514.40 : x
  2. Step 2: Convert to fraction form
    3,654.35/5,514.40 = 5,514.40/x
  3. Step 3: Cross multiply
    3,654.35x = 5,514.40 × 5,514.40
  4. Step 4: Simplify right side
    3,654.35x = 30,408,590.13
  5. Step 5: Solve for x
    x = 30,408,590.13/3,654.35
  6. Step 6: Final answer
    x = 8,321.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.