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Finding the Third Proportional to 219,316 and 328,093

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Solution

The third proportional to 219,316 and 328,093 is: 490,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,316 : 328,093 = 328,093 : x
  2. Step 2: Convert to fraction form
    219,316/328,093 = 328,093/x
  3. Step 3: Cross multiply
    219,316x = 328,093 × 328,093
  4. Step 4: Simplify right side
    219,316x = 107,645,016,649
  5. Step 5: Solve for x
    x = 107,645,016,649/219,316
  6. Step 6: Final answer
    x = 490,821.54

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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.