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Finding the Third Proportional to 148,213 and 221,913

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Solution

The third proportional to 148,213 and 221,913 is: 332,260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,213 : 221,913 = 221,913 : x
  2. Step 2: Convert to fraction form
    148,213/221,913 = 221,913/x
  3. Step 3: Cross multiply
    148,213x = 221,913 × 221,913
  4. Step 4: Simplify right side
    148,213x = 49,245,379,569
  5. Step 5: Solve for x
    x = 49,245,379,569/148,213
  6. Step 6: Final answer
    x = 332,260.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.