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Finding the Third Proportional to 155,467 and 329,617

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Solution

The third proportional to 155,467 and 329,617 is: 698,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,467 : 329,617 = 329,617 : x
  2. Step 2: Convert to fraction form
    155,467/329,617 = 329,617/x
  3. Step 3: Cross multiply
    155,467x = 329,617 × 329,617
  4. Step 4: Simplify right side
    155,467x = 108,647,366,689
  5. Step 5: Solve for x
    x = 108,647,366,689/155,467
  6. Step 6: Final answer
    x = 698,845.20

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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.