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Finding the Third Proportional to 172,021 and 252,973

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Solution

The third proportional to 172,021 and 252,973 is: 372,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,021 : 252,973 = 252,973 : x
  2. Step 2: Convert to fraction form
    172,021/252,973 = 252,973/x
  3. Step 3: Cross multiply
    172,021x = 252,973 × 252,973
  4. Step 4: Simplify right side
    172,021x = 63,995,338,729
  5. Step 5: Solve for x
    x = 63,995,338,729/172,021
  6. Step 6: Final answer
    x = 372,020.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.