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Finding the Third Proportional to 219,064.50 and 319,977

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Solution

The third proportional to 219,064.50 and 319,977 is: 467,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,064.50 : 319,977 = 319,977 : x
  2. Step 2: Convert to fraction form
    219,064.50/319,977 = 319,977/x
  3. Step 3: Cross multiply
    219,064.50x = 319,977 × 319,977
  4. Step 4: Simplify right side
    219,064.50x = 102,385,280,529
  5. Step 5: Solve for x
    x = 102,385,280,529/219,064.50
  6. Step 6: Final answer
    x = 467,375.04

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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.