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Finding the Third Proportional to 148,917 and 321,161

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Solution

The third proportional to 148,917 and 321,161 is: 692,630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,917 : 321,161 = 321,161 : x
  2. Step 2: Convert to fraction form
    148,917/321,161 = 321,161/x
  3. Step 3: Cross multiply
    148,917x = 321,161 × 321,161
  4. Step 4: Simplify right side
    148,917x = 103,144,387,921
  5. Step 5: Solve for x
    x = 103,144,387,921/148,917
  6. Step 6: Final answer
    x = 692,630.04

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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.