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Finding the Third Proportional to 3,096.35 and 6,401.53

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Solution

The third proportional to 3,096.35 and 6,401.53 is: 13,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.35 : 6,401.53 = 6,401.53 : x
  2. Step 2: Convert to fraction form
    3,096.35/6,401.53 = 6,401.53/x
  3. Step 3: Cross multiply
    3,096.35x = 6,401.53 × 6,401.53
  4. Step 4: Simplify right side
    3,096.35x = 40,979,602.34
  5. Step 5: Solve for x
    x = 40,979,602.34/3,096.35
  6. Step 6: Final answer
    x = 13,234.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.