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Finding the Third Proportional to 33,348 and 72,892

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Solution

The third proportional to 33,348 and 72,892 is: 159,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,348 : 72,892 = 72,892 : x
  2. Step 2: Convert to fraction form
    33,348/72,892 = 72,892/x
  3. Step 3: Cross multiply
    33,348x = 72,892 × 72,892
  4. Step 4: Simplify right side
    33,348x = 5,313,243,664
  5. Step 5: Solve for x
    x = 5,313,243,664/33,348
  6. Step 6: Final answer
    x = 159,327.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.