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Finding the Third Proportional to 13,776 and 21,344

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Solution

The third proportional to 13,776 and 21,344 is: 33,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776 : 21,344 = 21,344 : x
  2. Step 2: Convert to fraction form
    13,776/21,344 = 21,344/x
  3. Step 3: Cross multiply
    13,776x = 21,344 × 21,344
  4. Step 4: Simplify right side
    13,776x = 455,566,336
  5. Step 5: Solve for x
    x = 455,566,336/13,776
  6. Step 6: Final answer
    x = 33,069.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.