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Finding the Third Proportional to 8,559 and 12,956.63

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Solution

The third proportional to 8,559 and 12,956.63 is: 19,613.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559 : 12,956.63 = 12,956.63 : x
  2. Step 2: Convert to fraction form
    8,559/12,956.63 = 12,956.63/x
  3. Step 3: Cross multiply
    8,559x = 12,956.63 × 12,956.63
  4. Step 4: Simplify right side
    8,559x = 167,874,131.39
  5. Step 5: Solve for x
    x = 167,874,131.39/8,559
  6. Step 6: Final answer
    x = 19,613.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.