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Finding the Third Proportional to 213,876 and 332,640

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Solution

The third proportional to 213,876 and 332,640 is: 517,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,876 : 332,640 = 332,640 : x
  2. Step 2: Convert to fraction form
    213,876/332,640 = 332,640/x
  3. Step 3: Cross multiply
    213,876x = 332,640 × 332,640
  4. Step 4: Simplify right side
    213,876x = 110,649,369,600
  5. Step 5: Solve for x
    x = 110,649,369,600/213,876
  6. Step 6: Final answer
    x = 517,352.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.