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Finding the Third Proportional to 33,311 and 72,058

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Solution

The third proportional to 33,311 and 72,058 is: 155,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,311 : 72,058 = 72,058 : x
  2. Step 2: Convert to fraction form
    33,311/72,058 = 72,058/x
  3. Step 3: Cross multiply
    33,311x = 72,058 × 72,058
  4. Step 4: Simplify right side
    33,311x = 5,192,355,364
  5. Step 5: Solve for x
    x = 5,192,355,364/33,311
  6. Step 6: Final answer
    x = 155,875.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.