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Finding the Third Proportional to 208,879 and 304,384.50

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Solution

The third proportional to 208,879 and 304,384.50 is: 443,557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,879 : 304,384.50 = 304,384.50 : x
  2. Step 2: Convert to fraction form
    208,879/304,384.50 = 304,384.50/x
  3. Step 3: Cross multiply
    208,879x = 304,384.50 × 304,384.50
  4. Step 4: Simplify right side
    208,879x = 92,649,923,840.25
  5. Step 5: Solve for x
    x = 92,649,923,840.25/208,879
  6. Step 6: Final answer
    x = 443,557.87

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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.