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Finding the Third Proportional to 219,200 and 455,620

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Solution

The third proportional to 219,200 and 455,620 is: 947,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,200 : 455,620 = 455,620 : x
  2. Step 2: Convert to fraction form
    219,200/455,620 = 455,620/x
  3. Step 3: Cross multiply
    219,200x = 455,620 × 455,620
  4. Step 4: Simplify right side
    219,200x = 207,589,584,400
  5. Step 5: Solve for x
    x = 207,589,584,400/219,200
  6. Step 6: Final answer
    x = 947,032.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.