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Finding the Third Proportional to 72,947 and 161,203

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Solution

The third proportional to 72,947 and 161,203 is: 356,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,947 : 161,203 = 161,203 : x
  2. Step 2: Convert to fraction form
    72,947/161,203 = 161,203/x
  3. Step 3: Cross multiply
    72,947x = 161,203 × 161,203
  4. Step 4: Simplify right side
    72,947x = 25,986,407,209
  5. Step 5: Solve for x
    x = 25,986,407,209/72,947
  6. Step 6: Final answer
    x = 356,236.82

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.