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Finding the Third Proportional to 80,572 and 172,802

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Solution

The third proportional to 80,572 and 172,802 is: 370,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,572 : 172,802 = 172,802 : x
  2. Step 2: Convert to fraction form
    80,572/172,802 = 172,802/x
  3. Step 3: Cross multiply
    80,572x = 172,802 × 172,802
  4. Step 4: Simplify right side
    80,572x = 29,860,531,204
  5. Step 5: Solve for x
    x = 29,860,531,204/80,572
  6. Step 6: Final answer
    x = 370,606.80

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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.