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Finding the Third Proportional to 80,490 and 174,809

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Solution

The third proportional to 80,490 and 174,809 is: 379,651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,490 : 174,809 = 174,809 : x
  2. Step 2: Convert to fraction form
    80,490/174,809 = 174,809/x
  3. Step 3: Cross multiply
    80,490x = 174,809 × 174,809
  4. Step 4: Simplify right side
    80,490x = 30,558,186,481
  5. Step 5: Solve for x
    x = 30,558,186,481/80,490
  6. Step 6: Final answer
    x = 379,651.96

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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.