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Finding the Third Proportional to 13,776 and 29,841

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Solution

The third proportional to 13,776 and 29,841 is: 64,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776 : 29,841 = 29,841 : x
  2. Step 2: Convert to fraction form
    13,776/29,841 = 29,841/x
  3. Step 3: Cross multiply
    13,776x = 29,841 × 29,841
  4. Step 4: Simplify right side
    13,776x = 890,485,281
  5. Step 5: Solve for x
    x = 890,485,281/13,776
  6. Step 6: Final answer
    x = 64,640.34

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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.