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Finding the Third Proportional to 126,072 and 273,143

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Solution

The third proportional to 126,072 and 273,143 is: 591,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,072 : 273,143 = 273,143 : x
  2. Step 2: Convert to fraction form
    126,072/273,143 = 273,143/x
  3. Step 3: Cross multiply
    126,072x = 273,143 × 273,143
  4. Step 4: Simplify right side
    126,072x = 74,607,098,449
  5. Step 5: Solve for x
    x = 74,607,098,449/126,072
  6. Step 6: Final answer
    x = 591,781.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.