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Finding the Third Proportional to 23,365 and 33,586

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Solution

The third proportional to 23,365 and 33,586 is: 48,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,365 : 33,586 = 33,586 : x
  2. Step 2: Convert to fraction form
    23,365/33,586 = 33,586/x
  3. Step 3: Cross multiply
    23,365x = 33,586 × 33,586
  4. Step 4: Simplify right side
    23,365x = 1,128,019,396
  5. Step 5: Solve for x
    x = 1,128,019,396/23,365
  6. Step 6: Final answer
    x = 48,278.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.