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Finding the Third Proportional to 157,799 and 327,243

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Solution

The third proportional to 157,799 and 327,243 is: 678,635.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,799 : 327,243 = 327,243 : x
  2. Step 2: Convert to fraction form
    157,799/327,243 = 327,243/x
  3. Step 3: Cross multiply
    157,799x = 327,243 × 327,243
  4. Step 4: Simplify right side
    157,799x = 107,087,981,049
  5. Step 5: Solve for x
    x = 107,087,981,049/157,799
  6. Step 6: Final answer
    x = 678,635.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.