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Finding the Third Proportional to 81,503 and 172,819

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Solution

The third proportional to 81,503 and 172,819 is: 366,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,503 : 172,819 = 172,819 : x
  2. Step 2: Convert to fraction form
    81,503/172,819 = 172,819/x
  3. Step 3: Cross multiply
    81,503x = 172,819 × 172,819
  4. Step 4: Simplify right side
    81,503x = 29,866,406,761
  5. Step 5: Solve for x
    x = 29,866,406,761/81,503
  6. Step 6: Final answer
    x = 366,445.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.