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Finding the Third Proportional to 131,020 and 189,259

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Solution

The third proportional to 131,020 and 189,259 is: 273,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,020 : 189,259 = 189,259 : x
  2. Step 2: Convert to fraction form
    131,020/189,259 = 189,259/x
  3. Step 3: Cross multiply
    131,020x = 189,259 × 189,259
  4. Step 4: Simplify right side
    131,020x = 35,818,969,081
  5. Step 5: Solve for x
    x = 35,818,969,081/131,020
  6. Step 6: Final answer
    x = 273,385.51

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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.