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Finding the Third Proportional to 115,082 and 172,119

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Solution

The third proportional to 115,082 and 172,119 is: 257,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,082 : 172,119 = 172,119 : x
  2. Step 2: Convert to fraction form
    115,082/172,119 = 172,119/x
  3. Step 3: Cross multiply
    115,082x = 172,119 × 172,119
  4. Step 4: Simplify right side
    115,082x = 29,624,950,161
  5. Step 5: Solve for x
    x = 29,624,950,161/115,082
  6. Step 6: Final answer
    x = 257,424.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.