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Finding the Third Proportional to 8,306 and 12,877

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Solution

The third proportional to 8,306 and 12,877 is: 19,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306 : 12,877 = 12,877 : x
  2. Step 2: Convert to fraction form
    8,306/12,877 = 12,877/x
  3. Step 3: Cross multiply
    8,306x = 12,877 × 12,877
  4. Step 4: Simplify right side
    8,306x = 165,817,129
  5. Step 5: Solve for x
    x = 165,817,129/8,306
  6. Step 6: Final answer
    x = 19,963.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.