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Finding the Third Proportional to 328,512 and 363,072

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Solution

The third proportional to 328,512 and 363,072 is: 401,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,512 : 363,072 = 363,072 : x
  2. Step 2: Convert to fraction form
    328,512/363,072 = 363,072/x
  3. Step 3: Cross multiply
    328,512x = 363,072 × 363,072
  4. Step 4: Simplify right side
    328,512x = 131,821,277,184
  5. Step 5: Solve for x
    x = 131,821,277,184/328,512
  6. Step 6: Final answer
    x = 401,267.77

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.