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Finding the Third Proportional to 74,451 and 172,914

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Solution

The third proportional to 74,451 and 172,914 is: 401,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,451 : 172,914 = 172,914 : x
  2. Step 2: Convert to fraction form
    74,451/172,914 = 172,914/x
  3. Step 3: Cross multiply
    74,451x = 172,914 × 172,914
  4. Step 4: Simplify right side
    74,451x = 29,899,251,396
  5. Step 5: Solve for x
    x = 29,899,251,396/74,451
  6. Step 6: Final answer
    x = 401,596.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.