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Finding the Third Proportional to 216,435 and 332,861

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Solution

The third proportional to 216,435 and 332,861 is: 511,915.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,435 : 332,861 = 332,861 : x
  2. Step 2: Convert to fraction form
    216,435/332,861 = 332,861/x
  3. Step 3: Cross multiply
    216,435x = 332,861 × 332,861
  4. Step 4: Simplify right side
    216,435x = 110,796,445,321
  5. Step 5: Solve for x
    x = 110,796,445,321/216,435
  6. Step 6: Final answer
    x = 511,915.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.