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Finding the Third Proportional to 3,502.50 and 5,423.06

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Solution

The third proportional to 3,502.50 and 5,423.06 is: 8,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.50 : 5,423.06 = 5,423.06 : x
  2. Step 2: Convert to fraction form
    3,502.50/5,423.06 = 5,423.06/x
  3. Step 3: Cross multiply
    3,502.50x = 5,423.06 × 5,423.06
  4. Step 4: Simplify right side
    3,502.50x = 29,409,606.88
  5. Step 5: Solve for x
    x = 29,409,606.88/3,502.50
  6. Step 6: Final answer
    x = 8,396.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.