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Finding the Third Proportional to 80,573 and 172,803

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Solution

The third proportional to 80,573 and 172,803 is: 370,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,573 : 172,803 = 172,803 : x
  2. Step 2: Convert to fraction form
    80,573/172,803 = 172,803/x
  3. Step 3: Cross multiply
    80,573x = 172,803 × 172,803
  4. Step 4: Simplify right side
    80,573x = 29,860,876,809
  5. Step 5: Solve for x
    x = 29,860,876,809/80,573
  6. Step 6: Final answer
    x = 370,606.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.