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Finding the Third Proportional to 219,474 and 320,847.75

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Solution

The third proportional to 219,474 and 320,847.75 is: 469,045.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,474 : 320,847.75 = 320,847.75 : x
  2. Step 2: Convert to fraction form
    219,474/320,847.75 = 320,847.75/x
  3. Step 3: Cross multiply
    219,474x = 320,847.75 × 320,847.75
  4. Step 4: Simplify right side
    219,474x = 102,943,278,680.06
  5. Step 5: Solve for x
    x = 102,943,278,680.06/219,474
  6. Step 6: Final answer
    x = 469,045.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.