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Finding the Third Proportional to 219,532 and 331,028

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Solution

The third proportional to 219,532 and 331,028 is: 499,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,532 : 331,028 = 331,028 : x
  2. Step 2: Convert to fraction form
    219,532/331,028 = 331,028/x
  3. Step 3: Cross multiply
    219,532x = 331,028 × 331,028
  4. Step 4: Simplify right side
    219,532x = 109,579,536,784
  5. Step 5: Solve for x
    x = 109,579,536,784/219,532
  6. Step 6: Final answer
    x = 499,150.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.