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Finding the Third Proportional to 12,905 and 28,159

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Solution

The third proportional to 12,905 and 28,159 is: 61,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905 : 28,159 = 28,159 : x
  2. Step 2: Convert to fraction form
    12,905/28,159 = 28,159/x
  3. Step 3: Cross multiply
    12,905x = 28,159 × 28,159
  4. Step 4: Simplify right side
    12,905x = 792,929,281
  5. Step 5: Solve for x
    x = 792,929,281/12,905
  6. Step 6: Final answer
    x = 61,443.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.