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Finding the Third Proportional to 72,497 and 159,705

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Solution

The third proportional to 72,497 and 159,705 is: 351,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,497 : 159,705 = 159,705 : x
  2. Step 2: Convert to fraction form
    72,497/159,705 = 159,705/x
  3. Step 3: Cross multiply
    72,497x = 159,705 × 159,705
  4. Step 4: Simplify right side
    72,497x = 25,505,687,025
  5. Step 5: Solve for x
    x = 25,505,687,025/72,497
  6. Step 6: Final answer
    x = 351,817.14

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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.