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Finding the Third Proportional to 155,462 and 329,607

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Solution

The third proportional to 155,462 and 329,607 is: 698,825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,462 : 329,607 = 329,607 : x
  2. Step 2: Convert to fraction form
    155,462/329,607 = 329,607/x
  3. Step 3: Cross multiply
    155,462x = 329,607 × 329,607
  4. Step 4: Simplify right side
    155,462x = 108,640,774,449
  5. Step 5: Solve for x
    x = 108,640,774,449/155,462
  6. Step 6: Final answer
    x = 698,825.27

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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.