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Finding the Third Proportional to 72,661 and 162,331

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Solution

The third proportional to 72,661 and 162,331 is: 362,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,661 : 162,331 = 162,331 : x
  2. Step 2: Convert to fraction form
    72,661/162,331 = 162,331/x
  3. Step 3: Cross multiply
    72,661x = 162,331 × 162,331
  4. Step 4: Simplify right side
    72,661x = 26,351,353,561
  5. Step 5: Solve for x
    x = 26,351,353,561/72,661
  6. Step 6: Final answer
    x = 362,661.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.