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Finding the Third Proportional to 219,686 and 328,773

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Solution

The third proportional to 219,686 and 328,773 is: 492,028.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,686 : 328,773 = 328,773 : x
  2. Step 2: Convert to fraction form
    219,686/328,773 = 328,773/x
  3. Step 3: Cross multiply
    219,686x = 328,773 × 328,773
  4. Step 4: Simplify right side
    219,686x = 108,091,685,529
  5. Step 5: Solve for x
    x = 108,091,685,529/219,686
  6. Step 6: Final answer
    x = 492,028.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.