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Finding the Third Proportional to 8,125.88 and 12,893.91

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Solution

The third proportional to 8,125.88 and 12,893.91 is: 20,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.88 : 12,893.91 = 12,893.91 : x
  2. Step 2: Convert to fraction form
    8,125.88/12,893.91 = 12,893.91/x
  3. Step 3: Cross multiply
    8,125.88x = 12,893.91 × 12,893.91
  4. Step 4: Simplify right side
    8,125.88x = 166,252,818.38
  5. Step 5: Solve for x
    x = 166,252,818.38/8,125.88
  6. Step 6: Final answer
    x = 20,459.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.