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Finding the Third Proportional to 11,592 and 23,346

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Solution

The third proportional to 11,592 and 23,346 is: 47,018.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592 : 23,346 = 23,346 : x
  2. Step 2: Convert to fraction form
    11,592/23,346 = 23,346/x
  3. Step 3: Cross multiply
    11,592x = 23,346 × 23,346
  4. Step 4: Simplify right side
    11,592x = 545,035,716
  5. Step 5: Solve for x
    x = 545,035,716/11,592
  6. Step 6: Final answer
    x = 47,018.26

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.