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Finding the Third Proportional to 12,855 and 29,758

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Solution

The third proportional to 12,855 and 29,758 is: 68,886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855 : 29,758 = 29,758 : x
  2. Step 2: Convert to fraction form
    12,855/29,758 = 29,758/x
  3. Step 3: Cross multiply
    12,855x = 29,758 × 29,758
  4. Step 4: Simplify right side
    12,855x = 885,538,564
  5. Step 5: Solve for x
    x = 885,538,564/12,855
  6. Step 6: Final answer
    x = 68,886.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.