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Finding the Third Proportional to 72,991 and 159,529

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Solution

The third proportional to 72,991 and 159,529 is: 348,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,991 : 159,529 = 159,529 : x
  2. Step 2: Convert to fraction form
    72,991/159,529 = 159,529/x
  3. Step 3: Cross multiply
    72,991x = 159,529 × 159,529
  4. Step 4: Simplify right side
    72,991x = 25,449,501,841
  5. Step 5: Solve for x
    x = 25,449,501,841/72,991
  6. Step 6: Final answer
    x = 348,666.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.