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Finding the Third Proportional to 155,282 and 329,356

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Solution

The third proportional to 155,282 and 329,356 is: 698,570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,282 : 329,356 = 329,356 : x
  2. Step 2: Convert to fraction form
    155,282/329,356 = 329,356/x
  3. Step 3: Cross multiply
    155,282x = 329,356 × 329,356
  4. Step 4: Simplify right side
    155,282x = 108,475,374,736
  5. Step 5: Solve for x
    x = 108,475,374,736/155,282
  6. Step 6: Final answer
    x = 698,570.18

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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.