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Finding the Third Proportional to 172,578 and 403,073

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Solution

The third proportional to 172,578 and 403,073 is: 941,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,578 : 403,073 = 403,073 : x
  2. Step 2: Convert to fraction form
    172,578/403,073 = 403,073/x
  3. Step 3: Cross multiply
    172,578x = 403,073 × 403,073
  4. Step 4: Simplify right side
    172,578x = 162,467,843,329
  5. Step 5: Solve for x
    x = 162,467,843,329/172,578
  6. Step 6: Final answer
    x = 941,416.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.