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Finding the Third Proportional to 72,497 and 159,710

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Solution

The third proportional to 72,497 and 159,710 is: 351,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,497 : 159,710 = 159,710 : x
  2. Step 2: Convert to fraction form
    72,497/159,710 = 159,710/x
  3. Step 3: Cross multiply
    72,497x = 159,710 × 159,710
  4. Step 4: Simplify right side
    72,497x = 25,507,284,100
  5. Step 5: Solve for x
    x = 25,507,284,100/72,497
  6. Step 6: Final answer
    x = 351,839.17

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