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Finding the Third Proportional to 13,691 and 29,938

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Solution

The third proportional to 13,691 and 29,938 is: 65,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691 : 29,938 = 29,938 : x
  2. Step 2: Convert to fraction form
    13,691/29,938 = 29,938/x
  3. Step 3: Cross multiply
    13,691x = 29,938 × 29,938
  4. Step 4: Simplify right side
    13,691x = 896,283,844
  5. Step 5: Solve for x
    x = 896,283,844/13,691
  6. Step 6: Final answer
    x = 65,465.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.