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Finding the Third Proportional to 219,680 and 479,454.50

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Solution

The third proportional to 219,680 and 479,454.50 is: 1,046,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,680 : 479,454.50 = 479,454.50 : x
  2. Step 2: Convert to fraction form
    219,680/479,454.50 = 479,454.50/x
  3. Step 3: Cross multiply
    219,680x = 479,454.50 × 479,454.50
  4. Step 4: Simplify right side
    219,680x = 229,876,617,570.25
  5. Step 5: Solve for x
    x = 229,876,617,570.25/219,680
  6. Step 6: Final answer
    x = 1,046,415.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.