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Finding the Third Proportional to 71,646 and 153,866

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Solution

The third proportional to 71,646 and 153,866 is: 330,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,646 : 153,866 = 153,866 : x
  2. Step 2: Convert to fraction form
    71,646/153,866 = 153,866/x
  3. Step 3: Cross multiply
    71,646x = 153,866 × 153,866
  4. Step 4: Simplify right side
    71,646x = 23,674,745,956
  5. Step 5: Solve for x
    x = 23,674,745,956/71,646
  6. Step 6: Final answer
    x = 330,440.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.