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Finding the Third Proportional to 219,028 and 316,512

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Solution

The third proportional to 219,028 and 316,512 is: 457,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,028 : 316,512 = 316,512 : x
  2. Step 2: Convert to fraction form
    219,028/316,512 = 316,512/x
  3. Step 3: Cross multiply
    219,028x = 316,512 × 316,512
  4. Step 4: Simplify right side
    219,028x = 100,179,846,144
  5. Step 5: Solve for x
    x = 100,179,846,144/219,028
  6. Step 6: Final answer
    x = 457,383.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.