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Finding the Third Proportional to 328,354 and 488,149

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Solution

The third proportional to 328,354 and 488,149 is: 725,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,354 : 488,149 = 488,149 : x
  2. Step 2: Convert to fraction form
    328,354/488,149 = 488,149/x
  3. Step 3: Cross multiply
    328,354x = 488,149 × 488,149
  4. Step 4: Simplify right side
    328,354x = 238,289,446,201
  5. Step 5: Solve for x
    x = 238,289,446,201/328,354
  6. Step 6: Final answer
    x = 725,708.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.