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Finding the Third Proportional to 13,178 and 29,789

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Solution

The third proportional to 13,178 and 29,789 is: 67,338.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178 : 29,789 = 29,789 : x
  2. Step 2: Convert to fraction form
    13,178/29,789 = 29,789/x
  3. Step 3: Cross multiply
    13,178x = 29,789 × 29,789
  4. Step 4: Simplify right side
    13,178x = 887,384,521
  5. Step 5: Solve for x
    x = 887,384,521/13,178
  6. Step 6: Final answer
    x = 67,338.33

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.