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Finding the Third Proportional to 151,919 and 329,603

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Solution

The third proportional to 151,919 and 329,603 is: 715,105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,919 : 329,603 = 329,603 : x
  2. Step 2: Convert to fraction form
    151,919/329,603 = 329,603/x
  3. Step 3: Cross multiply
    151,919x = 329,603 × 329,603
  4. Step 4: Simplify right side
    151,919x = 108,638,137,609
  5. Step 5: Solve for x
    x = 108,638,137,609/151,919
  6. Step 6: Final answer
    x = 715,105.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.