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Finding the Third Proportional to 219,552 and 315,504

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Solution

The third proportional to 219,552 and 315,504 is: 453,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,552 : 315,504 = 315,504 : x
  2. Step 2: Convert to fraction form
    219,552/315,504 = 315,504/x
  3. Step 3: Cross multiply
    219,552x = 315,504 × 315,504
  4. Step 4: Simplify right side
    219,552x = 99,542,774,016
  5. Step 5: Solve for x
    x = 99,542,774,016/219,552
  6. Step 6: Final answer
    x = 453,390.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.