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Finding the Third Proportional to 101,171 and 145,731

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Solution

The third proportional to 101,171 and 145,731 is: 209,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,171 : 145,731 = 145,731 : x
  2. Step 2: Convert to fraction form
    101,171/145,731 = 145,731/x
  3. Step 3: Cross multiply
    101,171x = 145,731 × 145,731
  4. Step 4: Simplify right side
    101,171x = 21,237,524,361
  5. Step 5: Solve for x
    x = 21,237,524,361/101,171
  6. Step 6: Final answer
    x = 209,917.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.