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Finding the Third Proportional to 149,641 and 323,021

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Solution

The third proportional to 149,641 and 323,021 is: 697,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,641 : 323,021 = 323,021 : x
  2. Step 2: Convert to fraction form
    149,641/323,021 = 323,021/x
  3. Step 3: Cross multiply
    149,641x = 323,021 × 323,021
  4. Step 4: Simplify right side
    149,641x = 104,342,566,441
  5. Step 5: Solve for x
    x = 104,342,566,441/149,641
  6. Step 6: Final answer
    x = 697,285.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.