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Finding the Third Proportional to 13,789 and 29,918

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Solution

The third proportional to 13,789 and 29,918 is: 64,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789 : 29,918 = 29,918 : x
  2. Step 2: Convert to fraction form
    13,789/29,918 = 29,918/x
  3. Step 3: Cross multiply
    13,789x = 29,918 × 29,918
  4. Step 4: Simplify right side
    13,789x = 895,086,724
  5. Step 5: Solve for x
    x = 895,086,724/13,789
  6. Step 6: Final answer
    x = 64,913.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.