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Finding the Third Proportional to 4,540.85 and 9,631.40

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Solution

The third proportional to 4,540.85 and 9,631.40 is: 20,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.85 : 9,631.40 = 9,631.40 : x
  2. Step 2: Convert to fraction form
    4,540.85/9,631.40 = 9,631.40/x
  3. Step 3: Cross multiply
    4,540.85x = 9,631.40 × 9,631.40
  4. Step 4: Simplify right side
    4,540.85x = 92,763,795.89
  5. Step 5: Solve for x
    x = 92,763,795.89/4,540.85
  6. Step 6: Final answer
    x = 20,428.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.