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Finding the Third Proportional to 12,865 and 26,087

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Solution

The third proportional to 12,865 and 26,087 is: 52,897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865 : 26,087 = 26,087 : x
  2. Step 2: Convert to fraction form
    12,865/26,087 = 26,087/x
  3. Step 3: Cross multiply
    12,865x = 26,087 × 26,087
  4. Step 4: Simplify right side
    12,865x = 680,531,569
  5. Step 5: Solve for x
    x = 680,531,569/12,865
  6. Step 6: Final answer
    x = 52,897.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.