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Finding the Third Proportional to 328,354 and 696,242

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Solution

The third proportional to 328,354 and 696,242 is: 1,476,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,354 : 696,242 = 696,242 : x
  2. Step 2: Convert to fraction form
    328,354/696,242 = 696,242/x
  3. Step 3: Cross multiply
    328,354x = 696,242 × 696,242
  4. Step 4: Simplify right side
    328,354x = 484,752,922,564
  5. Step 5: Solve for x
    x = 484,752,922,564/328,354
  6. Step 6: Final answer
    x = 1,476,311.92

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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.