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Finding the Third Proportional to 8,662.50 and 11,931.75

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Solution

The third proportional to 8,662.50 and 11,931.75 is: 16,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.50 : 11,931.75 = 11,931.75 : x
  2. Step 2: Convert to fraction form
    8,662.50/11,931.75 = 11,931.75/x
  3. Step 3: Cross multiply
    8,662.50x = 11,931.75 × 11,931.75
  4. Step 4: Simplify right side
    8,662.50x = 142,366,658.06
  5. Step 5: Solve for x
    x = 142,366,658.06/8,662.50
  6. Step 6: Final answer
    x = 16,434.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.