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Finding the Third Proportional to 3,905.72 and 8,461.97

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Solution

The third proportional to 3,905.72 and 8,461.97 is: 18,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.72 : 8,461.97 = 8,461.97 : x
  2. Step 2: Convert to fraction form
    3,905.72/8,461.97 = 8,461.97/x
  3. Step 3: Cross multiply
    3,905.72x = 8,461.97 × 8,461.97
  4. Step 4: Simplify right side
    3,905.72x = 71,604,915.13
  5. Step 5: Solve for x
    x = 71,604,915.13/3,905.72
  6. Step 6: Final answer
    x = 18,333.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.