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Finding the Third Proportional to 4,137.38 and 7,855.88

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Solution

The third proportional to 4,137.38 and 7,855.88 is: 14,916.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.38 : 7,855.88 = 7,855.88 : x
  2. Step 2: Convert to fraction form
    4,137.38/7,855.88 = 7,855.88/x
  3. Step 3: Cross multiply
    4,137.38x = 7,855.88 × 7,855.88
  4. Step 4: Simplify right side
    4,137.38x = 61,714,772.02
  5. Step 5: Solve for x
    x = 61,714,772.02/4,137.38
  6. Step 6: Final answer
    x = 14,916.41

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.