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Finding the Third Proportional to 13,356 and 23,796

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Solution

The third proportional to 13,356 and 23,796 is: 42,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,356 : 23,796 = 23,796 : x
  2. Step 2: Convert to fraction form
    13,356/23,796 = 23,796/x
  3. Step 3: Cross multiply
    13,356x = 23,796 × 23,796
  4. Step 4: Simplify right side
    13,356x = 566,249,616
  5. Step 5: Solve for x
    x = 566,249,616/13,356
  6. Step 6: Final answer
    x = 42,396.65

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.