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Finding the Third Proportional to 12,658.78 and 21,334.64

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Solution

The third proportional to 12,658.78 and 21,334.64 is: 35,956.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.78 : 21,334.64 = 21,334.64 : x
  2. Step 2: Convert to fraction form
    12,658.78/21,334.64 = 21,334.64/x
  3. Step 3: Cross multiply
    12,658.78x = 21,334.64 × 21,334.64
  4. Step 4: Simplify right side
    12,658.78x = 455,166,890.60
  5. Step 5: Solve for x
    x = 455,166,890.60/12,658.78
  6. Step 6: Final answer
    x = 35,956.61

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.