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Finding the Third Proportional to 149,218 and 323,716

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Solution

The third proportional to 149,218 and 323,716 is: 702,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,218 : 323,716 = 323,716 : x
  2. Step 2: Convert to fraction form
    149,218/323,716 = 323,716/x
  3. Step 3: Cross multiply
    149,218x = 323,716 × 323,716
  4. Step 4: Simplify right side
    149,218x = 104,792,048,656
  5. Step 5: Solve for x
    x = 104,792,048,656/149,218
  6. Step 6: Final answer
    x = 702,274.85

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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.