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Finding the Third Proportional to 3,462.89 and 7,654.78

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Solution

The third proportional to 3,462.89 and 7,654.78 is: 16,921.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.89 : 7,654.78 = 7,654.78 : x
  2. Step 2: Convert to fraction form
    3,462.89/7,654.78 = 7,654.78/x
  3. Step 3: Cross multiply
    3,462.89x = 7,654.78 × 7,654.78
  4. Step 4: Simplify right side
    3,462.89x = 58,595,675.99
  5. Step 5: Solve for x
    x = 58,595,675.99/3,462.89
  6. Step 6: Final answer
    x = 16,921.03

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.