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Finding the Third Proportional to 72,492 and 159,699

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Solution

The third proportional to 72,492 and 159,699 is: 351,814.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,492 : 159,699 = 159,699 : x
  2. Step 2: Convert to fraction form
    72,492/159,699 = 159,699/x
  3. Step 3: Cross multiply
    72,492x = 159,699 × 159,699
  4. Step 4: Simplify right side
    72,492x = 25,503,770,601
  5. Step 5: Solve for x
    x = 25,503,770,601/72,492
  6. Step 6: Final answer
    x = 351,814.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.