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Finding the Third Proportional to 77,731 and 161,302

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Solution

The third proportional to 77,731 and 161,302 is: 334,722.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,731 : 161,302 = 161,302 : x
  2. Step 2: Convert to fraction form
    77,731/161,302 = 161,302/x
  3. Step 3: Cross multiply
    77,731x = 161,302 × 161,302
  4. Step 4: Simplify right side
    77,731x = 26,018,335,204
  5. Step 5: Solve for x
    x = 26,018,335,204/77,731
  6. Step 6: Final answer
    x = 334,722.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.